Novel pressure-equilibrium and kinetic-energy preserving fluxes for compressible flows based on the harmonic mean

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Compressible fluids and gas dynamics (76Nxx)

Cites Work

Higher entropy conservation and numerical stability of compressible turbulence simulations
Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
A fully discrete, kinetic energy consistent finite volume scheme for compressible flows
Comparison of some entropy conservative numerical fluxes for the Euler equations
The effect of the formulation of nonlinear terms on aliasing errors in spectral methods
Kinetic energy and entropy preserving schemes for compressible flows by split convective forms
Entropy conserving and kinetic energy preserving numerical methods for the Euler equations using summation-by-parts operators
A skew-symmetric energy and entropy stable formulation of the compressible Euler equations
Numerical treatment of the energy equation in compressible flows simulations
Preventing spurious pressure oscillations in split convective form discretization for compressible flows
A new kinetic-energy-preserving method based on the convective rotational form
Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes
Comprehensive analysis of entropy conservation property of non-dissipative schemes for compressible flows: KEEP scheme redefined
Entropy stable numerical approximations for the isothermal and polytropic Euler equations
Numerically stable formulations of convective terms for turbulent compressible flows
A general condition for kinetic-energy preserving discretization of flow transport equations
Reduced aliasing formulations of the convective terms within the Navier-Stokes equations for a compressible fluid
The construction of discretely conservative finite volume schemes that also globally conserve energy or entropy
Formulation of kinetic energy preserving conservative schemes for gas dynamics and direct numerical simulation of one-dimensional viscous compressible flow in a shock tube using entropy and kinetic energy preserving schemes
Generalized conservative approximations of split convective derivative operators
Skew-symmetric form of convective terms and fully conservative finite difference schemes for variable density low-Mach number flows
A kinetic energy-and entropy-preserving scheme for compressible two-phase flows
Global and local conservation of mass, momentum and kinetic energy in the simulation of compressible flow
Fully conservative and pressure-equilibrium preserving scheme for compressible multi-component flows
The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
Computations of compressible multifluids.
Kinetic-energy- and pressure-equilibrium-preserving schemes for real-gas turbulence in the transcritical regime
Asymptotically entropy-conservative and kinetic-energy preserving numerical fluxes for compressible Euler equations

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