2000 character limit reached
A skew-symmetric energy and entropy stable formulation of the compressible Euler equations (2201.05423v3)
Published 14 Jan 2022 in math.AP, cs.NA, and math.NA
Abstract: We show that a specific skew-symmetric form of nonlinear hyperbolic problems leads to energy and entropy bounds. Next, we exemplify by considering the compressible Euler equations in primitive variables, transform them to skew-symmetric form and show how to obtain energy and entropy estimates. Finally we show that the skew-symmetric formulation lead to energy and entropy stable discrete approximations if the scheme is formulated on summation-by-parts form.