A novel flux approximation scheme for spherically symmetric conservation laws

J.H.M. Thije Boonkkamp, ten; M.J.H. Anthonissen

doi:10.1093/qjmam/53.2.175

A novel flux approximation scheme for spherically symmetric conservation laws

Scientific Computing

Research output: Contribution to journal › Article › Academic › peer-review

61 Citations (SciVal)

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 sum of a homogeneous flux and an inhomogeneous flux. The resulting scheme has only a three-point stencil and is second order accurate, uniformly in the local Peclet numbers.

Original language	English
Pages (from-to)	175-187
Journal	International Journal of Pure and Applied Mathematics
Volume	53
Issue number	2
DOIs	https://doi.org/10.1093/qjmam/53.2.175
Publication status	Published - 2009

Access to Document

10.1093/qjmam/53.2.175

Cite this

@article{8026ca4048e9442c908997507ee8e5bf,

title = "A novel flux approximation 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 sum of a homogeneous flux and an inhomogeneous flux. The resulting scheme has only a three-point stencil and is second order accurate, uniformly in the local Peclet numbers.",

author = "\{Thije Boonkkamp, ten\}, J.H.M. and M.J.H. Anthonissen",

year = "2009",

doi = "10.1093/qjmam/53.2.175",

language = "English",

volume = "53",

pages = "175--187",

journal = "International Journal of Pure and Applied Mathematics",

issn = "1311-8080",

publisher = "Academic Publications Ltd.",

number = "2",

}

TY - JOUR

T1 - A novel flux approximation scheme for spherically symmetric conservation laws

AU - Thije Boonkkamp, ten, J.H.M.

AU - Anthonissen, M.J.H.

PY - 2009

Y1 - 2009

N2 - 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 sum of a homogeneous flux and an inhomogeneous flux. The resulting scheme has only a three-point stencil and is second order accurate, uniformly in the local Peclet numbers.

AB - 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 sum of a homogeneous flux and an inhomogeneous flux. The resulting scheme has only a three-point stencil and is second order accurate, uniformly in the local Peclet numbers.

U2 - 10.1093/qjmam/53.2.175

DO - 10.1093/qjmam/53.2.175

M3 - Article

SN - 1311-8080

VL - 53

SP - 175

EP - 187

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

IS - 2

ER -

A novel flux approximation scheme for spherically symmetric conservation laws

Abstract

Access to Document

Fingerprint

Cite this