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Flux-Balanced Patankar-type Schemes for the Compressible Euler Equations
Thomas Izgin, Andreas Meister, Chi-Wang Shu +1
Positivity preservation of key physical quantities in the context of fluid flows, such as density and internal energy, is an essential property of a numerical scheme as otherwise t…
An Alternative Finite Difference WENO-like Scheme with Physical Constraint Preservation for Divergence-Preserving Hyperbolic Systems
Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu
Alternative finite difference Weighted Essentially Non-Oscillatory (AFD-WENO) schemes allow us to very efficiently update hyperbolic systems even in complex geometries. Recent inno…
A non-separable progressive multivariate WENO- point value
Pep Mulet, Juan Ruiz-Alvarez, Chi-Wang Shu +1
The weighted essentially non-oscillatory {technique} using a stencil of points (WENO-) is an interpolatory method that consists in obtaining a higher approximation order f…
A high order, block finite difference, error inhibiting scheme for the transport equation
Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu
We propose a block finite difference, error inhibiting scheme that is fourth-order accurate for short to moderate times and has a six-order convergence rate for long times. This sc…