Finite Volume Methods for Hyperbolic Problems

by

Randall J. LeVeque

This book is now available from Cambridge University Press, as of August, 2002.
See the CUP webpage for this book for more information or to order a copy.

• Hardback: ISBN 0-521-81087-6
• Paperback: ISBN 0-521-00924-3

• Short blurb from the back cover
• Table of Contents and Introduction in pdf   (See below for chapter titles.)
• Errata

This is a revised and expanded version of Numerical Methods for Conservation Laws, ETH Lecture Notes, Birkhauser-Verlag, Basel, 1990. ISBN 3-7643-2464-3.

Simulations and Software:

The pages below for each chapter may contain errata and pointers to other relevant webpages. In many cases they also contain more figures and perhaps animations illustrating examples from the text and related problems.

From these pages you can also download computer codes for the examples presented in the text. Most of these are fortran programs based on CLAWPACK, and it will first be necessary to download and install that package in order to use them.

• Download CLAWPACK
• Download all of book.tar.gz (303KB)
  The resulting directory book will contain all the CLAWPACK codes for examples in the book. You should untar this in your claw directory.

Browse simulations and/or download more selectively:

• chap1   Introduction.

• chap2   Conservation Laws and Differential Equations.

• chap3   Characteristics and Riemann Problems for Linear Hyperbolic Equations.
  • acousimple

• chap4   Finite-Volume Methods.

• chap5   Introduction to the CLAWPACK software.

• chap6   High-Resolution Methods.
  • wavepacket
  • compareadv
  • wavepacket.2

• chap7   Boundary Conditions and Ghost Cells.
  • acouinflow
  • advinflow
  • standing

• chap8   Convergence, Accuracy, and Stability.
  • wavepacket
  • modeqn

• chap9   Variable-Coefficient Linear Equations.
  • acoustics
    • layered
    • interface
  • color
    • discontu
    • smoothu
  • traffic

• chap10   Other Approaches to High Resolution.
  • tvb

• chap11   Nonlinear Scalar Conservation Laws.
  • congestion
  • greenlight
  • redlight
  • burgers

• chap12   Finite Volume Methods for Nonlinear Scalar Conservation Laws.
  • llf
  • efix
  • nonconservative

• chap13   Nonlinear Systems of Conservation Laws.
  • swhump1
  • dambreak
  • twoshock
  • slosh
  • tworaref
  • collide

• chap14   Gas Dynamics and the Euler Equations.

• chap15   Finite-Volume Methods for Nonlinear Systems.
  • slowshock
  • wcblast
    • qref
  • startup

• chap16   Some Nonclassical Hyperbolic Problems.
  • bucklev
  • fsin
  • vctraffic

• chap17   Source Terms and Balance Laws.
  • advreact
  • stiffburgers
  • nocommute
    • qref
  • onramp
  • advdiff

• chap18   Multidimensional Hyperbolic Problems.

• chap19   Multidimensional Numerical Methods.

• chap20   Multidimensional Scalar Equations.
  • rotate
    • amr
  • burgers

• chap21   Multidimensional Systems.
  • radialdam
    • 1drad
  • corner
    • amr
  • radialdam.old
    • 1drad
  • radialdamabc
    • 1drad
  • acoustics
    • 1drad

• chap22   Elastic Waves.
  • inclusion
  • rp
  • plate
  • corner

• chap23   Finite-Volume Methods on Quadrilateral Grids.
  • shallow
    • cylinder
    • sqcylinder
  • advection
    • polar
  • acoustics
    • 1drad
  • euler
    • extrap