
Speaker: Maira Han Viega (OSU)
Arbitrarily high-order spectral difference method for Euler equations with a posteriori limiting
In this talk, I will present a new numerical scheme that combines an arbitrarily high-order spectral difference method and the ADER time-stepping method with a-posteriori subcell limiting using the classical MUSCL-Hancock scheme as a fallback scheme. This scheme is used to solve the one and two-dimensional compressible Euler equations, delivering very accurate solutions in smooth regions of the flow while capturing sharp discontinuities without spurious oscillations. If time allows, will also talk about the extension of this work to treat the ideal magneto-hydrodynamics equations.
This is joint work with David Velasco and Romain Teyssier.