[图书][B] Riemann solvers and numerical methods for fluid dynamics: a practical introduction

EF Toro - 2013 - books.google.com
In 1917, the British scientist LF Richardson made the first reported attempt to predict the
weather by solving partial differential equations numerically, by hand! It is generally …

Implementation of semi‐discrete, non‐staggered central schemes in a colocated, polyhedral, finite volume framework, for high‐speed viscous flows

CJ Greenshields, HG Weller… - … journal for numerical …, 2010 - Wiley Online Library
We describe the implementation of a computational fluid dynamics solver for the simulation
of high‐speed flows. It comprises a finite volume (FV) discretization using semi‐discrete, non …

Central discontinuous Galerkin methods on overlapping cells with a nonoscillatory hierarchical reconstruction

Y Liu, CW Shu, E Tadmor, M Zhang - SIAM Journal on Numerical Analysis, 2007 - SIAM
The central scheme of Nessyahu and Tadmor [J. Comput. Phys., 87 (1990), pp. 408–463]
solves hyperbolic conservation laws on a staggered mesh and avoids solving Riemann …

Central‐upwind schemes on triangular grids for hyperbolic systems of conservation laws

A Kurganov, G Petrova - Numerical Methods for Partial …, 2005 - Wiley Online Library
We present a family of central-upwind schemes on general triangular grids for solving two-
dimensional systems of conservation laws. The new schemes enjoy the main advantages of …

FORCE schemes on unstructured meshes I: Conservative hyperbolic systems

EF Toro, A Hidalgo, M Dumbser - Journal of Computational Physics, 2009 - Elsevier
This paper is about the construction of numerical fluxes of the centred type for one-step
schemes in conservative form for solving general systems of conservation laws in multiple …

Lecture Notes in Computational Science and Engineering

TJ Barth, M Griebel, DE Keyes, RM Nieminen, D Roose - 2006 - Springer
This work represents the essence of nearly 16 years of work in scientific computing for
ocean and atmospheric modeling. This journey started at Alfred-Wegener-Institute for Polar …

Fourth-order balanced source term treatment in central WENO schemes for shallow water equations

V Caleffi, A Valiani, A Bernini - Journal of Computational Physics, 2006 - Elsevier
The aim of this work is to develop a well-balanced central weighted essentially non-
oscillatory (CWENO) method, fourth-order accurate in space and time, for shallow water …

New non-oscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws

I Christov, B Popov - Journal of Computational Physics, 2008 - Elsevier
We discuss an extension of the Jiang–Tadmor and Kurganov–Tadmor fully-discrete non-
oscillatory central schemes for hyperbolic systems of conservation laws to unstructured …

Central schemes on overlapping cells

Y Liu - Journal of Computational Physics, 2005 - Elsevier
Nessyahu and Tadmor's central scheme [J. Comput. Phys. 87 (1990)] has the benefit of not
using Riemann solvers for solving hyperbolic conservation laws. But the staggered …

[PDF][PDF] Non-oscillatory hierarchical reconstruction for central and finite volume schemes

Y Liu, CW Shu, E Tadmor, M Zhang - … in Computational Physics, 2007 - researchgate.net
This is the continuation of the paper” Central discontinuous Galerkin methods on
overlapping cells with a non-oscillatory hierarchical reconstruction” by the same authors …