With the algorithm’s suitability for exploiting current petascale and next-generation exascale supercomputers, stable and structure-preserving properties are necessary to develop predictive computational tools. In this dissertation, …
This paper analysis and develops the entropy-stable framework for a new diffusive Euler model developed by Svärd in 2018, demonstrated the ability to derive entropy-stable wall boundary conditions, and offers a rigorous comparison that questions some conclusions in Svärd 2018.
Nonlinear (entropy) stability analysis is used to derive entropy–stable no–slip wall boundary conditions at the continuous and semi–discrete levels for the Eulerian model proposed by Svärd in 2018 (Physica A: Statistical Mechanics and its …
This paper has gained a large traction in the field because it extends the entropy-stability features previously only available at the semi-discrete level to a fully-discrete scheme.
In this thesis, we study the entropy stability of the compressible Navier-Stokes model along with a modification of the model. We use the discretization of the inviscid terms with the Ismail-Roe entropy conservative flux. Then, we study entropy …