Results 1 
5 of
5
Wave Propagation Algorithms for Multidimensional Hyperbolic Systems
 JOURNAL OF COMPUTATIONAL PHYSICS
, 1997
"... ..."
A Wave Propagation Method for Three Dimensional Hyperbolic Problems
, 1996
"... A class of wave propagation algorithms for threedimensional conservation laws is developed. This unsplit nite volume method is based on solving onedimensional Riemann problems at the cell interfaces and applying fluxlimiter functions to suppress oscillations arising from second derivative terms. ..."
Abstract

Cited by 27 (5 self)
 Add to MetaCart
A class of wave propagation algorithms for threedimensional conservation laws is developed. This unsplit nite volume method is based on solving onedimensional Riemann problems at the cell interfaces and applying fluxlimiter functions to suppress oscillations arising from second derivative terms. Waves emanating from the Riemann problem are further split by solving Riemann problems in the transverse direction to model crossderivative terms. Due to proper upwinding, the method is stable for Courant numbers up to one. Several examples using the Euler equations are included.
Threedimensional Euler Computations using CLAWPACK
 in Conf. on Numer. Meth. for Euler and NavierStokes Eq
, 1995
"... this paper will be submitted for publication elsewhere. ..."
Abstract

Cited by 4 (2 self)
 Add to MetaCart
(Show Context)
this paper will be submitted for publication elsewhere.
BLOCKSTRUCTURED ADAPTIVE MESH REFINEMENT THEORY, IMPLEMENTATION AND APPLICATION
"... Abstract. Structured adaptive mesh refinement (SAMR) techniques can enable cuttingedge simulations of problems governed by conservation laws. Focusing on the strictly hyperbolic case, these notes explain all algorithmic and mathematical details of a technically relevant implementation tailored for ..."
Abstract
 Add to MetaCart
(Show Context)
Abstract. Structured adaptive mesh refinement (SAMR) techniques can enable cuttingedge simulations of problems governed by conservation laws. Focusing on the strictly hyperbolic case, these notes explain all algorithmic and mathematical details of a technically relevant implementation tailored for distributed memory computers. An overview of the background of commonly used finite volume discretizations for gas dynamics is included and typical benchmarks to quantify accuracy and performance of the dynamically adaptive code are discussed. Largescale simulations of shockinduced realistic combustion in nonCartesian geometry and shockdriven fluidstructure interaction with fully coupled dynamic boundary motion demonstrate the applicability of the discussed techniques for complex
NUMERICAL METHODS FOR RIVER FLOW MODELLING ∗
"... In this paper we propose a new numerical scheme to simulate the river flow in the presence of a variable bottom surface. We use the finite volume methods, our approach is based on the technique described by D. L. George for shallow water equations [1]. The main goal is to construct the scheme, which ..."
Abstract
 Add to MetaCart
In this paper we propose a new numerical scheme to simulate the river flow in the presence of a variable bottom surface. We use the finite volume methods, our approach is based on the technique described by D. L. George for shallow water equations [1]. The main goal is to construct the scheme, which is well balanced, i.e. maintains not only some special steady states but all steady states which can occur. Furthermore this should preserve non–negativity of some quantities, which are essentially non–negative from their physical fundamental, for example cross section or depth. Our scheme can be extended to the second order accuracy. We also describe connections between the central and centralupwind schemes and the approximate Riemann solvers. 1.