Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
Journal of Computational Physics
Accurate monotonicity-preserving schemes with Runge-Kutta time stepping
Journal of Computational Physics
Developing high-order weighted compact nonlinear schemes
Journal of Computational Physics
Conservative hybrid compact-WENO schemes for shock-turbulence interaction
Journal of Computational Physics
A subgrid-scale deconvolution approach for shock capturing
Journal of Computational Physics
A Modified Fractional Step Method for the Accurate Approximation of Detonation Waves
SIAM Journal on Scientific Computing
High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations
Journal of Computational Physics
A high-wavenumber viscosity for high-resolution numerical methods
Journal of Computational Physics
Short Note: Hyperviscosity for shock-turbulence interactions
Journal of Computational Physics
Localized artificial diffusivity scheme for discontinuity capturing on curvilinear meshes
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
An adaptive central-upwind weighted essentially non-oscillatory scheme
Journal of Computational Physics
Generalized finite compact difference scheme for shock/complex flowfield interaction
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.48 |
A computational approach for modeling interactions between shocks waves, contact discontinuities and reactions zones with a high-order compact scheme is investigated. To prevent the formation of spurious oscillations around shocks, artificial nonlinear viscosity [A.W. Cook, W.H. Cabot, A high-wavenumber viscosity for high resolution numerical method, J. Comput. Phys. 195 (2004) 594-601] based on high-order derivative of the strain rate tensor is used. To capture temperature and species discontinuities a nonlinear diffusivity based on the entropy gradient is added. It is shown that the damping of 'wiggles' is controlled by the model constants and is largely independent of the mesh size and the shock strength. The same holds for the numerical shock thickness and allows a determination of the L2 error. In the shock tube problem, with fluids of different initial entropy separated by the diaphragm, an artificial diffusivity is required to accurately capture the contact surface. Finally, the method is applied to a shock wave propagating into a medium with non-uniform density/entropy and to a CJ detonation wave. Multi-dimensional formulation of the model is presented and is illustrated by a 2D oblique wave reflection from an inviscid wall, by a 2D supersonic blunt body flow and by a Mach reflection problem.