Description

Book Synopsis
The first of its kind in the field, this title examines the use of modern, shock-capturing finite volume numerical methods, in the solution of partial differential equations associated with free-surface flows, which satisfy the shallow-water type assumption (including shallow water flows, dense gases and mixtures of materials as special examples).

Trade Review
"...a well-written book ..... I strongly recommend the book..." (Jnl of Hydraulic Research, Vol.41, No.1, 2003)

Table of Contents
Preface.

Introduction.
The Shallow Water Equations.
Properties of the Equations.
Linearised Shallow Water.
Exact Riemann Solver: Wet Bed.
Exact Riemann Solver: Dry Bed.
Tests with Exact Solution.
Basics on Numerical Methods.
First-Order Methods.
Approximate Riemann Solvers.
TVD Methods.
Sources and Multi-Dimensions.
Dam-Break Modelling.
Mach Reflection of Bores.
Concluding Remarks.
References.
Index.

ShockCapturing Methods for FreeSurface

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    A Hardback by Eleuterio F. Toro

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      Publisher: John Wiley & Sons Inc
      Publication Date: 23/02/2001
      ISBN13: 9780471987666, 978-0471987666
      ISBN10: 0471987662
      Also in:
      Mechanical engineering and materials

      Description

      Book Synopsis
      The first of its kind in the field, this title examines the use of modern, shock-capturing finite volume numerical methods, in the solution of partial differential equations associated with free-surface flows, which satisfy the shallow-water type assumption (including shallow water flows, dense gases and mixtures of materials as special examples).

      Trade Review
      "...a well-written book ..... I strongly recommend the book..." (Jnl of Hydraulic Research, Vol.41, No.1, 2003)

      Table of Contents
      Preface.

      Introduction.
      The Shallow Water Equations.
      Properties of the Equations.
      Linearised Shallow Water.
      Exact Riemann Solver: Wet Bed.
      Exact Riemann Solver: Dry Bed.
      Tests with Exact Solution.
      Basics on Numerical Methods.
      First-Order Methods.
      Approximate Riemann Solvers.
      TVD Methods.
      Sources and Multi-Dimensions.
      Dam-Break Modelling.
      Mach Reflection of Bores.
      Concluding Remarks.
      References.
      Index.

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