A low-dissipation solver based on OpenFOAM designed for large eddy simulation in compressible flows

To reduce the numerical dissipation in compressible flow modeling, a low-dissipation compressible solver is developed for large eddy simulation based on the original compressible solver rhoCentralFoam within the framework of an open source computational fluid dynamics package OpenFOAM. In rhoCentralFoam, the central-upwind scheme of Kurganov and Tadmor is applied to capture flow discontinuities, but its dissipation is too strong to resolve fine turbulence structures under finite mesh resolutions. The current lowdissipation solver adopts a new hybrid scheme, which combines the dissipative KurganovTadmor scheme with the nondissipative central scheme. By aid of a shock sensor, the dissipative scheme is used to capture the flow discontinuities near shock waves and the central scheme is used to resolve the turbulence structures in the smooth flow area. In the framework of unstructured mesh, the central scheme is extended from second order to forth order, which greatly reduces the dispersion error and weakens the oscillations near flow discontinuities. To improve the numerical stability of the central scheme, the skewsymmetric form of the convective term is adopted to preserve the local kinetic energy and maintain the self-stability of central scheme without adding an explicit dissipative term. In addition, a low-storage third-order TVD Runge-Kutta method for temporal discretization is newly implemented in the low-dissipation solver to further reduce the numerical dissipation. A series of benchmark flow problems, such as Sod shock tube test, Shu-Osher problem, Green-Taylor vortex evolution, and wall-bounded turbulence generation based on synthetic eddy method, are computed and compared to examine the low-dissipation solver’s capability in capturing flow discontinuities as well as resolving fine turbulence structures. The accuracy and stability of the low-dissipation solver are further validated against experimental data for a scramjet model with a supersonic airstream passing over the flame holder structure