A barely implicit correction for flux-corrected transport
Journal of Computational Physics
Preconditioned methods for solving the incompressible low speed compressible equations
Journal of Computational Physics
Comparison of finite-volume numerical methods with staggered and colocated grids
Computers and Fluids
Journal of Computational Physics
A unified method for computing incompressible and compressible flows in boundary-fitted coordinates
Journal of Computational Physics
On the cancellation problem in calculating compressible low Mach number flows
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Mass flux schemes and connection to shock instability
Journal of Computational Physics
A high-resolution pressure-based algorithm for fluid flow at all speeds
Journal of Computational Physics
A multigrid method for natural convective heat transfer with large temperature differences
Journal of Computational and Applied Mathematics - Special issue: Selected papers from the 2nd international conference on advanced computational methods in engineering (ACOMEN2002) Liege University, Belgium, 27-31 May 2002
A Mach-uniform algorithm: Coupled versus segregated approach
Journal of Computational Physics
Multigrid solution method for the steady RANS equations
Journal of Computational Physics
Journal of Computational Physics
A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics
Journal of Computational Physics
Journal of Computational and Applied Mathematics
Numerical simulations of the Euler system with congestion constraint
Journal of Computational Physics
An Asymptotic-Preserving all-speed scheme for the Euler and Navier-Stokes equations
Journal of Computational Physics
Hi-index | 31.48 |
We present a new type of algorithm: the coupled pressure and temperature correction algorithm. It is situated in between the fully coupled and the fully segregated approach, and is constructed such that Mach-uniform accuracy and efficiency are obtained. The essential idea is the separation of the convective and the acoustic/thermodynamic phenomena: a convective predictor is followed by an acoustic/thermodynamic corrector. For a general case, the corrector consists of a coupled solution of the energy and the continuity equations for both pressure and temperature corrections. For the special case of an adiabatic perfect gas flow, the algorithm reduces to a fully segregated method, with a pressure-correction equation based on the energy equation. Various test cases are considered, which confirm that Mach-uniformity is obtained.