2019
Nonlinear flux approximation scheme for Burgers equation derived from a local BVP
Publication
Publication
Presented at the
European Conference on Numerical Mathematics and Advanced Applications (September 2017), Voss, Noorwegen
We present a novel flux approximation scheme for the viscous Burgers equation. The numerical flux is computed from a local two-point boundary value problem for the stationary equation and requires the iterative solution of a nonlinear equation depending on the local boundary values and the viscosity. In the inviscid limit the scheme reduces to the Godunov numerical flux.
| Additional Metadata | |
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| doi.org/10.1007/978-3-319-96415-7_96 | |
| Lecture Notes in Computational Science and Engineering | |
| European Conference on Numerical Mathematics and Advanced Applications | |
| Organisation | Scientific Computing |
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ten Thije Boonkkamp, J. H. M., Kumar, N., Koren, B., Van der Woude, D. A. M., & Linke, A. (2019). Nonlinear flux approximation scheme for Burgers equation derived from a local BVP. In Proceedings of ENUMATH (pp. 1015–1023). doi:10.1007/978-3-319-96415-7_96 |
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