Title
The Complete Flux Scheme for Spherically Symmetric Conservation Laws
Abstract
We apply the finite volume method to a spherically symmetric conservation law of advection-diffusion-reaction type. For the numerical flux we use the so-called complete flux scheme. In this scheme the flux is computed from a local boundary value problem for the complete equation, including the source term. As a result, the numerical flux is the superposition of a homogeneous flux and an inhomogeneous flux. The resulting scheme is second order accurate, uniformly in the Peclet numbers.
Year
DOI
Venue
2008
10.1007/978-3-540-69384-0_70
ICCS (1)
Keywords
Field
DocType
boundary value problem,second order,conservation law,finite volume method,source term,advection diffusion equation,finite volume
Convection–diffusion equation,Boundary value problem,Mathematical optimization,Superposition principle,Mathematical analysis,Homogeneous,Flux,Numerical flux,Finite volume method,Mathematics,Conservation law
Conference
Volume
ISSN
Citations 
5101
0302-9743
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
J. H. Thije Boonkkamp1237.77
M. J. H. Anthonissen2103.12