Linear high-resolution schemes for hyperbolic conservation laws: TVB numerical evidence

Understand

The Osher-Chakrabarthy family of linear flux-modification schemes is considered.

• Improved lower bounds on the compression factors are provided, which suggest the viability of using the unlimited version.
• The LLF flux formula is combined with these schemes in order to obtain efficient finite-difference algorithms.
• The resulting schemes are applied to a battery of numerical tests, going from advection and Burgers equations to Euler and MHD equations, including the double Mach reflection and the Orszag-Tang 2D vortex problem.