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.
|Name||Lecture Notes in Computational Science and Engineering|
|Conference||European Conference on Numerical Mathematics and Advanced Applications |
|Abbreviated title||ENUMATH 2017|
|Period||25/09/17 → 29/09/17|