Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations

Monolithic convex limiting in discontinuous Galerkin discretizations of hyperbolic conservation laws

(2021) Hennes Hajduk   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Sparse invariant domain preserving discontinuous Galerkin methods with subcell convex limiting

(2021) Will Pazner   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Fully discrete explicit locally entropy-stable schemes for the compressible Euler and Navier–Stokes equations

(2020) Hendrik Ranocha et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Entropy stable reduced order modeling of nonlinear conservation laws

(2020) Jesse Chan   JOURNAL OF COMPUTATIONAL PHYSICS

Second-order invariant domain preserving approximation of the compressible Navier–Stokes equations

(2020) Jean-Luc Guermond et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Entropy stable boundary conditions for the Euler equations

(2020) Magnus Svärd   JOURNAL OF COMPUTATIONAL PHYSICS

Staggered-grid entropy-stable multidimensional summation-by-parts discretizations on curvilinear coordinates

(2019) David C. Del Rey Fernández et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Extension of Tensor-Product Generalized and Dense-Norm Summation-by-Parts Operators to Curvilinear Coordinates

(2019) David C. Del Rey Fernández et al.   JOURNAL OF SCIENTIFIC COMPUTING

Skew-Symmetric Entropy Stable Modal Discontinuous Galerkin Formulations

(2019) Jesse Chan   JOURNAL OF SCIENTIFIC COMPUTING

Entropy stable numerical approximations for the isothermal and polytropic Euler equations

(2019) Andrew R. Winters et al.   BIT NUMERICAL MATHEMATICS

Conservative and entropy stable solid wall boundary conditions for the compressible Navier–Stokes equations: Adiabatic wall and heat entropy transfer

(2019) Lisandro Dalcin et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On discretely entropy conservative and entropy stable discontinuous Galerkin methods

(2018) Jesse Chan   JOURNAL OF COMPUTATIONAL PHYSICS

Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements

(2018) Jared Crean et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The BR1 Scheme is Stable for the Compressible Navier–Stokes Equations

(2018) Gregor J. Gassner et al.   JOURNAL OF SCIENTIFIC COMPUTING

Entropy Stability and the No-Slip Wall Boundary Condition

(2018) Magnus Svärd et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

On discretely entropy stable weight-adjusted discontinuous Galerkin methods: curvilinear meshes

(2018) Jesse Chan et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws

(2017) Tianheng Chen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A uniquely defined entropy stable matrix dissipation operator for high Mach number ideal MHD and compressible Euler simulations

(2017) Andrew R. Winters et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Interior Penalties for Summation-by-Parts Discretizations of Linear Second-Order Differential Equations

(2017) Jianfeng Yan et al.   JOURNAL OF SCIENTIFIC COMPUTING

Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations

(2016) Gregor J. Gassner et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Entropy Stable Staggered Grid Discontinuous Spectral Collocation Methods of any Order for the Compressible Navier--Stokes Equations

(2016) Matteo Parsani et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements

(2016) Jason E. Hicken et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Entropy stable wall boundary conditions for the three-dimensional compressible Navier–Stokes equations

(2015) Matteo Parsani et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Dealiasing techniques for high-order spectral element methods on regular and irregular grids

(2015) G. Mengaldo et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A DPG method for steady viscous compressible flow

(2014) Jesse Chan et al.   COMPUTERS & FLUIDS

Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces

(2014) Mark H. Carpenter et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations

(2013) Praveen Chandrashekar   Communications in Computational Physics

High-order methods for computational fluid dynamics: A brief review of compact differential formulations on unstructured grids

(2013) H.T. Huynh et al.   COMPUTERS & FLUIDS

High-order CFD methods: current status and perspective

(2013) Z.J. Wang et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains

(2013) Travis C. Fisher et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Analytical shock solutions at large and small Prandtl number

(2013) B. M. Johnson   JOURNAL OF FLUID MECHANICS

Entropy-Stable Schemes for the Euler Equations with Far-Field and Wall Boundary Conditions

(2013) Magnus Svärd et al.   JOURNAL OF SCIENTIFIC COMPUTING

Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws

(2012) Ulrik S. Fjordholm et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities

(2009) Christophe Geuzaine et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Affordable, entropy-consistent Euler flux functions II: Entropy production at shocks

(2009) Farzad Ismail et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A stable high-order finite difference scheme for the compressible Navier–Stokes equations

(2008) Magnus Svärd et al.   JOURNAL OF COMPUTATIONAL PHYSICS