Abstract
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.
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CITATION STYLE
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 Lecture Notes in Computational Science and Engineering (Vol. 126, pp. 1015–1023). Springer Verlag. https://doi.org/10.1007/978-3-319-96415-7_96
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