25 citations · 26 across the 4 of their papers we have counts for
5 papers · 1 filter
Very high-order symmetric positive-interior quadrature rules on triangles and tetrahedra
Zelalem Arega Worku, Jason E. Hicken, David W. Zingg
We present novel fully-symmetric quadrature rules with positive weights and strictly interior nodes of degrees up to 84 on triangles and 40 on tetrahedra. Initial guesses for solvi…
Quadrature Rules on Triangles and Tetrahedra for Multidimensional Summation-By-Parts Operators
Zelalem Arega Worku, Jason E. Hicken, David W. Zingg
Multidimensional diagonal-norm summation-by-parts (SBP) operators with collocated volume and facet nodes, known as diagonal- operators, are attractive for entropy-sta…
Entropy-stable discontinuous Galerkin difference methods for hyperbolic conservation laws
Ge Yan, Sharanjeet Kaur, Jeffery W. Banks +1
The paper describes the construction of entropy-stable discontinuous Galerkin difference (DGD) discretizations for hyperbolic conservation laws on unstructured grids. The construct…
Entropy-stable, high-order summation-by-parts discretizations without interface penalties
Jason E. Hicken
The paper presents high-order accurate, energy-, and entropy-stable discretizations constructed from summation-by-parts (SBP) operators. Notably, the discretizations assemble globa…
A Family of Entropy-Conservative Flux Functions for the Euler Equations
Jason Edward Hicken, Jared Crean
Entropy-conservative numerical flux functions can be used to construct high-order, entropy-stable discretizations of the Euler and Navier-Stokes equations. The purpose of this shor…