The Courant–Friedrichs–Lewy number influences the accuracy of finite volume methods.

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PREFACE
praises are due to Allah, God Almighty, Who made this annual event of successful of "
The "4th Annual Basic Science International Conference 2014 in conjunction with The 5th

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International Conference on Global Resource Conservation2014, both annual scientific

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events organized by the Faculty of Mathematics and Natural Sciences, Brawijaya Uniyersity.


of "Applying science to conserve nature". These
conferences are concerned about our current challenge on how to explore, utilize and apply
our knowledge and science to conserve water, soil, earth, air, plants, animals and microorganisms that involved multi disciplines. As a conjunctive conferences, these covered a wide range
of topics on basic sciences: physics, biology, chemistry, mathematics and statistics as well as

ln this year, the conference took

a theme

conservation biology and applied science.
The conference in 2014 was the continuation of the preceding conferences initiated in 2011 as
the International Conference on Basic Science (ICBS) and International Conference on
Global Resource Conservation initiade in 2010. Therefore the proceeding was also divided
into two books, each with, each with a different ISSN. The proceedings were also published in
electronic forms that can be accessed from BaSIC website.

I

am glad that for the first time both types of publication can be realized. These international
conferences are held to to increase dissemination of applying science to conserve nafural resources, to present new research findings, ideas and informations and to discuss topic related

to conference theme and to develop collaboration among multi discipline sciences and to find

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potential young researchers. This is in line with university vision as a World Class Entrepreneurial University.

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am grateful to all the members of the program committee who contributed for the success in
farming the program. I also thank all the delegates who contributed to the success of this conference by accepting our invitation and submitting paper for presentation in the scientific pro-


gam. I am also indebted to PT. Fajarmas, PT. Makmur Sejati, KPR[, CV. Gamma, PT. Tata
Bumi Raya and CV. Enseval Medica Prima for their support in sponsoring this event.

I

hope that you enjoy in this seminar. We wish for all
life and for the coming conferences and even better.

Thank you,

Malang, February 2014

Amin Setyo Leksono, Ph.D.
Conference Chairperson

of us a grand success in our scientific

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February t2-t3'd2o!4

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Program Committee

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Steering committee
Rector, University of Brawijaya
Dean, Faculty of Mathematics and Natural Sciences,
Associate Deans 1, 2 and3, Faculty of Mathematics and Natural Sciences

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Chairperson

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Amin Setyo Leksono, S.Si.,M.Si.,Ph.D.

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Lukman Hakim, S.Si.,MSc.Dr. Sc.

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Secretary
Dr. Sri Rahayu, M.Kes.

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Tri Ardyati, M.Agr.,Ph.D.
Mrs. Sri Purworini
Mrs. Rustika Adiningrum

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Publication & Proceedings

Muhaimin fufa'i, Ph.D. Med.Sc
Luchman Hakim, M.Agr.,Ph.D.

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Secretariats and registration

Mrs. Sri Aminin
Mrs. Trivira Meirany

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Ms. ArikArubil
Mr. Ekwan
Scientific sections and program
Dr.k. Moch. Sasmito Djati, MS.

Dr. Suharjono
Ms. Dewi Satwika

Transportation, excursion & social Event
Dr. Agung Pramana Warih Mahendra, M.Si.
Dr. Nunung Harijati
Dr. Sri Widyarti
Brian Rahardi, S.Si., M.Sc.
Mrs. Arnawati
Venue

Dr. Sofy Permana, M.Sc., D.Sc.
Drs. Aris Soewondo, M.Si.
Mr. Karyadi Eka Putra
Mr. Agung Kumiawan
Mr. Hasan Muhajir

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The 4e Annual Basic Science lnternational Conference
Intemational Scientific Committee and Editors

Prof' Dr' Masashi Kato, Faculty of Agriculture, Department
of Applied Biological Chemistry,
Meijo University Nagoya
Prof' Dr. rer. Nat Helmut Erdmann, Flesnburg university of Applied
Science
Prof. Dr. Maketab Mohamed, Malaysian Nature Society, tutataysia
Prof' Dr' Chow Son Chen, School of Earth Science, National
ientral University, Taiwan prof.
Fatchiyah, M.Kes., Ph.D, Department of Biolc,gy, Brawijaya
Universifz
Dr'Farah Aini Abdullah, School ofMathematicat sciencls, Universiti
bains Malaysia
Dr'Ir. Estri Laras, MSt Sc., Department of Biology, Brawijaya university
Dr. sasmito Djati, Deparhnent of Biology, univJisity of rirawijaya,Indonesia
Dr. Setijono Samino, Department of Bior,ogy, univeisity of nrawi.iay4
Indonesia
Dr. chomsin s. widodo, Department of physic, University
of Brawijaya, rndonesia
Dr. Endang Arisoesilaningsih, Department of Biology, University
of Braw-rjaya, Indonesia

Dr' Retno Mastuti, Department of Biorogy, University of Brawijaya,
rndonesia
Dr. Sukir Maryanto, Department of physic, University of
Brawijaya, lndonesia

Dr. Didik

R

santoso, Department of physic, University of Brawijaya, rndonesia

Dr. Ratno Bagus, Department of Mathematics, university
of Brawijaya, rndonesia

Dr' Wuryansari Muharini K, Department of Mathematics, University
of Brawijaya, lndonesia
Dr. Barlah Rumhayati, Department of chemistry, University
of Brawijaya, lndonesia
Dr. Elvina, Department of Chemistry, University of Brawijaya,
lndonesia
Dr. Masruri, Department of Chemistry, University of Brawijaya,
lndonesia
Dr. Amin setyo Leksono, Department of Biorogy, University
of Brawijaya, rndonesia

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The 4s Annual Basic Science lnternational Conference

February !2-13'd2ot4

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MESSAGE FROM RECTOR OF BRAWIJAYA UNIVERSITY

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Honorable Keynote Speaker
Prof. Dr. Masashi Kato, Dep. of Applied Biological Chemistry, Meijo University Nagoya
Prof. Dr. rer. Nat Helmut Erdmann, Flesnburg University of Applied Science
Prof. Dr. Maketab Mohamed, Malaysian Nature Society, Malaysia

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Dr.Farah Aini Abdullah, School of Mathematical Sciences, Universiti Sains Malaysia
prof. Dr. Chow Son Chen, School of Earth Science, National Central University, Taiwan

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Dean Faculty of Mathematics and Natural Sciences

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And

All

participants

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Assalamualaikum Warahmatullahi Wabarakatuhu
that today
First of all let us pray to Allah the Almighty for His blessings bestowed to all of us
and the
we can all be here to attend the The 4th annual Basic Scienee International Conference
5th International Conference of Global Resources Conservation.

and privilege for me to welcome you warmly at this Conference' My
all of you the distinguished participants of this important event' and
great appreciation
science
trust that this conference will be an valuable input to the empowerment of Applying
to Dean
to conserve our nature. I would like to take this opportunity to offer my appreciation

It is indeed an honor

to

UniFaculty of Mathematics and Natural Sciences, and committee from Biology Department
versity of Brawijaya who have organized this Seminar.

Distinguished Guests, Ladies and Gentlemen,
its mission of
University of Brawijaya (UB) as oneof the leading university in Indonesia with
where we
World Ctass University, should take actions to participate in conserving our nature
here, as the
are living inside through innovation of science. We encourage all of academician
best interest ofhubackbone ofnation building for continuous learning to save our planet for
and
man being and living thing. Therefore, We should work together, across institutions
world with our
across discipline. We should start thinking how to be leader and control the
resources, knowledge and technology to achieve an equitable welfare.

Distinguished Guests, Ladies and Gentlemen,

UB with combination between lnternational standard and local culture has been educating
Indonesia'
communities who have made positive impacts in their Communities-throughout

other instiHence we warmly welcomes collaborative works of mutual partnership with many
national and
tutions; especially universities, industr;r, government and other institution; both at
Based on
intemational level. Moreover UB has dedicated itself to be a world class university.
connectivity
spirit we belief that only with international partnership able pursue multinational

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The 4u Annual Basic Science lnternational Gonference
on business, established in the higher education institution, for future generations. In this case,
this occasion is really necessary to initiate cooperation beyond national border to supply comprehensive knowledge to be a winner in the global competition.

Distingukhed

Guests, Ladies and Gentlemen,

Science, technology and education will determine the well-being of people and nations in the
future. Therefore, academician and scientist as Scholar who will bear the future of this nation
have to work hard, and the ability to create brilliant innovation to supply environmental tech-

nology to solve human problem. UB rely on and encourage increased intemational partnership, as well as greater staff mobility. The partnership, it will be able to supports economic
and social development. In Another word, whatever challenges that will arise, it should be
challenges for all of us, and it should be solved with partnership.
As a conclusion, I propose to strengthen our collaboration to create synergism at any levels,
especially all stakeholders, locally, regionally, as well as internationally. By working together
all over the world through sharing information and resources, we can make the bright future.
Finally, let us hope that the fruitful points aimed from this conference will develop the new
concept and networking based on science and technology to save our nature.
During the organization and execution of this conference, and the one I am cunently opening
"The 4th annual Basic Science International Conference and the 5th lnternational Conference
of Global Resources Conservation".
Ladies and gentlemen, I hereby wish you a fruitful Conference.

lvabillahitauliqwalhidayah, wossalamualuikumwarahmatullahiwabarakatuh
Thank you for your attention.

Malang, February l5rh, 2Ol 4
Rector,

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February t2-13'd2OL4

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TABLE OF CONTENT

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Field of Study: Biology

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Sumartini, Heru

Resistance evaluation oflarge seeded soybean

Kuswantoro

lines to rust disease

Fauziah Hafidha,
Mohamad Nurzaman, andNurullia

Fihiani Teguh

Leaf characteristics of some trees species in accumulating SOz and NO2 pollutant in park area
of Padjadjaran University Jatinangor

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Husodo

Bi3

Siti Sumarmi, Retno
Peni,
Sancayaningsih,
Sebastian Margino,

RC. Hidayat
Soesilohadi

Biological Control of Cabbage Head Caterpillar
Crocidolomia binotalis, Zeller by Using Fusants
Bacillus thuringiensis vw. kurstaki and Bacillus
thuringiensis var. Israelensis Cultured in Whole
Coconut Fruits

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Bi5

Nurul Isnaini

The Effect of Trehalose Levels on Post-Thaw
Sperm Membrane Integrrty of Boer Goat Semen

15

Bi7

Supartini Syarif,

antimutagenic effect from brassicaceae extracts
on swiss-webster mice induced by lead acetate

19

Yield And Yield Components Of Acid-Tolerant
Soybean Promising Lines On Ultisols

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Bil0

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Heru Kuswantoro

RCH. Soesilohadil,
S. Sumarmi, S.

Marginio danR.
Susandarini

Hary Widjajanti Sar-

Bi23

Bi24

Biological control and managemen of insect pest
on'strobe.ry community: 1,' lnsect diversity in
strawbery community

Lipase/amylase ratio as the indication of pancre-

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Haikal Prima

Nugroho.

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Srihardyastutie, A,
Soeatmadji, D.W.,
Fatchiyah, and

Ruuy A.

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Rosalia Sinaga

Aulanni'am

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Screening and identification of cellulosedegrading bacteria from the mangrove areas
Sembilang National Park South Sumatera

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atic exocrine inflammation and the correlation
with insulin resistance in type 2 diabetes mellitus

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sp.) at Sekotong Region,
West Lombok, Nusa Tenggara Barat.

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Distribution and Accumulation ofMercury in

Fadholi Kerang Bulu (Anadara

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Eko Agus Suyono,

Dr. Ida Kinasih

The 4s Annual Basic Science lnternational Conference
The effect of salinity on growth, dry weight and

lipid content of the mixed microalgae culture
isolated from glagah as biodiesel substrate
Soil mesofauna diversity in two different ages of

47
51

cocoa (Theobroma cacao L.) Plantation

Ateng Supriatn4

Bi34

Bi35

Bi45

Ramadhani EkaPutrq Robert Manurung, and Rizkita
R.E
Ramadhani Eka Pu-

tra
Khairunnisa Arumsari, RindraAryandari,
Haikal Prima Fadholi

Study on Bioconvertion of Cassava Tuber Skin
and Dry Rice Stalk By Black Soldier Flies
(Hermetia illucens)

Pollination Agents

of Coffee at Small Urban

59

Plantations in Sumedang, West Jav4 Indonesia

Diversity and Abundance

of

Zooplankton in

63

Rawa Jombor, Klaten, Central Java

Atit Kanti, Nampiah
Sukarno,Latifah K
Bi50

55

Darusman, Endang

Novel Cellulolytic Yeast Isolated from South

Sukar4I Made
Sudianq and Kyria
Boundy-Mills

Sulawesi, Indonesia

East

67

The 4e Annual Basic Science lnternational Conference

February

!2-t3'd2o44

Field of Study: Chemistry
Field

code Authods)
Evi Susanti

Title
Effect Of Agricultural Waste On The Growth And
Manganese Peroxidase Production Of Phanerochaete Chrysosporium

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Maksum, SusiNurul Khalifah, Anton Prasetyo,

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Siti Mariyah Ulfa
and Elvina Dhiaul

Iftitah

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Atikah

the study of adsorytion on Cr(VI) in natural clay
surface modified with surfactant CTAB (Cetyltrim ethy I ammonium Br om i de)
Selective Hydrogenation Of Furfrral Using
Alzo: Catalyst

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A New Oxalate Ion Sensors Based On Chitosan
Membrane

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Field of Study: PhYsics
Field code
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Munawwarah,
Ahmad Marzuki S,
and Iven Ganesja

Relocation of Hypocentrum Earthquake in
Mentawai Island Region as Data Support
Determination of Earthquake Early Warning

93

Ph9

Firdy Yuana

Measurement of bioefficacy and its effects on one
push aerosol insecticide by using glass chamber

97

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Abdurrouf

Ph12

Supriyanto, A. Haris, and Y. Sofyan

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Ph13

Ph15

The effect of probe pulse on the dynamic signal in a
double pulses experiment
Gravity data analysis of Teluk Mandar, Makassar
Strait

101

Mawadah,

Modeling of Relative Dating Using Spectroscopy
Analysis of Tamban's Subfossil

113

Prayogo and Satrio
Wasis, Sukir
Maryanto, and

Particle Motion Of Seismic Waves Recorded
From Hydrothermal Area At Cangar, East Java,

T.B. Susilo, U. B.
L. Utami, R. Nurmasari, R. Mujianti, M. Habibi, S.
A.
Pradanq S. Hayati,
Y. Seftiawan, O.
Soesanto, B. I.

Dahlia Kurniawati

Indonesia

105

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February !2-13'd 2ot4

The 4tr Annual Basic Science lnternational Conference

Field code

MS2

Serag M.

MS6

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Ali

Elwan, Ni Wayan
Surya Wardhani,
and Maria Bernnadetha Theresia

Mitakda

Factors affecting the Performance in statistics
subject among trigtr sctroot students in Tripoli, 125
Libya
(part 2: all factors)

MS7

Sudi Mungkasi

The Courant-Friedrichs-Lewy number influences
the convergence rate of finite volume methods

131

MS10

Preatin, Iriawan, N.
, Z-ain,I., and
Hartanto, W

Bayesian migration schedule model: an aplication
to migration in east java

135

Diana Kurnia Sari
MS12

Sudirman,

mawati

Ris-

Ramdani,

A Totally Irregular Total Labelling Disjoint
Union of Wheel GraPh

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Field of Study: Mathematic and Statistics
Title
tvtonitoring of High-Yielding Varieties of Rice
CandraDewi
Plants Using Multi Temporal Lands at 8 Data

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lnu Laksito
Wibowo,
Suhariningsih, and

Basuki Widodo

MSls

MSI6

Rismawati Ramdani
Ratna Dwi
Christyanti Ratno
Bagus Edy Wibowo
2),

The Application Of Meshless Local Petrov
Gaierkin On CalculatingVolume Of River
Sedimentation ln Confluence Two Rivers

t45

On the Total Irregularity Strength of Friendship

151

Existence and Uniqueness Solution of EulerLagrange Equation in O c IRn

MS18

Lilik Hidayati

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Eflorts to lncrease Eco-

nomic Growth Central Java Through Health Spending
The Development of GtlI Simulation-Based Media
Transformation
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Batu, East Java, lndonesia

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February t2-13'dzatl

Sudi Mungkasi, S.Si., M.Math.Sc., Ph.D.''-) and Drs. Noor Hidayat, M.Si.''')
Department of Mathematics, Faculty of Science and Technologs, Sanata Dharma (Jniversity,
Mrican, Ttornol Pos 29, Yogvakarta 55002, Indonesia
2)
Docloral Program, Facttlty of science and rechnologl', Airlangga utiversity, surabaya' Indonesia
3)
Department of Mathematics, Brawijaya t)niversi4t, Malang, lndonesia
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Abstract- The shallow water (wave) equatlons

govern
shallow water flows. We solve the shallow water equations
using a finite volume method. A necessary condition for a
be stable (hence'
consistent linite volume method

to

convergent) is thet the method satislies the CourantFriedrichs--Lewy (CfL) condition. Numbers representing
this condition are called CFL numbers. In this paper, the
effects of CFL numbers to the convergence rate of the finite
volurnr method are investigated. Setting a CFL number to
the method gives varying time steps in the numerical
cvolufion. We compare results betwcen those produced by
imposing a CFL numtrer and imposing a fixed time step to
the numerical method. We shall show rvhich stretegy is more
cflicicnt and produces morc accurate solutions in solving the
shallorv water equations.
Kelnrords----t,onvergence

ratg Courant-Friedrichrlewy',

integration teclnique implemented to the space and time.
To focus on our investigation, we use a single integration
technique for the space variable, that is, we use a second
order method for the space integralion. Then we compare
the performance of a second order method for the tilue

integration by presenting the errors

finite volume method is presented in

INTRoDUCTTON

rFHE system of shallow water equations is a welll. koo*n mathematical model that describes shallow
water waves and flows. We are interested in solving
these equations as the solutions are usef,rl in the
simulations of rsal world problems such as dam break
floods and tsunamis. Ia this paper we implement a flnite
volume method to solve the shallow water equations. The
method is chosen due to its robustness in dealing with
srnooth and non-smooth solutions

[9, l0].

In finite volume methods, a necessary condition for
convergelrce is that the Courant-Friedrichs-Lewy (CFL)
condition be satisfied [3, 9, l0]. This condition is related
to the time stepping in the integration of the shallow
water equations with respect to time after the equatioas
are discretized with respect to spacs. This means thal we
can use either a fixed time step as long as the CFL
condition is satis{ied at every time step or a varying time
step based on a lixed CFL number. Here a CFL nutnber
represents a positive nuurber such that the CFL condition
is satisfied.

This paper investigates the influence of CFL number to
the accuracy ofnumerical solutions produced by the finite
volume method. The accuracv of the frnite volume
method, of cowse, depends on the accuracy of the

Sectiou III.

Nurnerical results are given in Section [V. Finally some
concluding retnarks are drawn in Section V'

II.

GownNnvoEquenoNs

The shallorv water equations are
h, + (hu), =0

flnite volume method, shallow water equations.

I.

between

implementing a fixed time step and a fixed CFL number.
This paper is organized as follows, Tn Section II we
recall the shallow water equations in one dimension. The

thu\,+$gh2

,
+huz),--ghB,.

(1)
(2)

x denotes the space
height
or
depth, n(x,l) is
is
water
*(x,l)
variable,
veiocity, 8(x) represents flre bottom elevation or
topography, and g is the acceleration due to gravity. The
where

/

denotes the time varjable,

absolute water level (stage) is defined as

A number of authors lrave proposed numerical techniques
to solve these shallow water equations (l) and (2). Some
ofthem are [l, 2, 5-8, I l, 12, 15, l6].

III.

NUMERICALMETHOD

As we mentioned, we use a finite t'olume nurnerical.
method to solve the shallow waler equations. [n a semidiscrete form, the finite volume method is

fio,rl=-*(l.rr,)-{,-.rr))+si

$)

where Q is an approximation of the conserved qualitify,
F is an approximation of the analytical flux and S is a
discretiz-ation of the analytical source term. See the
References [1, 6, 15] for more details of this lype of
scheme. This scheme is called semi-discrete because we
have discretize the shallow water equations u'ith respect
to space, but the tirne variable is still continuous [3, 9,

Batu, East Jova, lndonesio | 131

I

>1

February 12-13'd2014

The 4th Annual Basic Science lnternational Conference
1

TABLE II

01.

To get a second order method in spacc, rve use a linear
reconstruction tbr quanilties stage, height, bed, velocity
and momentum. Then in order to suppress arlilicial
trscillation due to the space reconstruction, we implement
the minmod limiter. This limiter gives a limitation to the
values of the gradients in the linear reconstruction of the
aforernentioned quantities. After that, uumerical fluxes
are computed based on these reconstructions. We use the
Lax-Friedrichs numerical flux function. We refer to [9,
I 0] for the formulation of this flux flurction.
The next step is to integrate the serni-discrete fonn (4)
with respect to time. We acrually can use any standard

method

of

Oldinary Differential Equations (ODEs)

solver. However, because we have used a second order
method in space, it is better to use either a tirst or second
order rnethod in time. This is because we will never get a
firite volume method of order higher than two, eveu if we

use higher order method in time. In this paper we
implement the second order Runge-Kutta method to
integrate the semi-discrete fonn (4) with respect to time.

IV.

NT,MF,RICALRESULTS

This section provides numerical results regarding two
different strategies for the numerical evolution. The fust
sh?tegy is imposing a tlxed time step in the second order
Runge-Kutta integration. The second sh'at€gy is imposing

a fixed CFL number where in our simulations we use
CFL number to be 1.0 in one case and 0.01 in another
case. Details about

CFL conditions and CFL nunrbers can

be found in the References [9, 10, 17].

Numerical settings are as follow. We use SI units for
measured quantities, so wr; omit the writing of rurits.
Errors are quantified using absolute Ll formula as used in
[13, l4]. In this paper we consider one test casc. Stamdard
test cases are avaiiable in the References [4, l8].
As a test case we consider the darn break problern. W"e
assume that the topography is given by a flat horizontal
bottom B(-t)=6, where -1