Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
On postshock oscillations due to shock capturing schemes in unsteady flows
Journal of Computational Physics
Approximate Riemann solvers, parameter vectors, and difference schemes
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Journal of Computational Physics
Developing high-order weighted compact nonlinear schemes
Journal of Computational Physics
Resolution of high order WENO schemes for complicated flow structures
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
An artificial nonlinear diffusivity method for supersonic reacting flows with shocks
Journal of Computational Physics
Suitability of artificial bulk viscosity for large-eddy simulation of turbulent flows with shocks
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
Stabilized non-dissipative approximations of Euler equations in generalized curvilinear coordinates
Journal of Computational Physics
Generalized finite compact difference scheme for shock/complex flowfield interaction
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains
Journal of Computational Physics
Journal of Computational Physics
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A simple and efficient localized artificial diffusivity scheme is developed for the purpose of capturing discontinuities on curvilinear and anisotropic meshes using a high-order compact differencing scheme. The artificial diffusivity is dynamically localized in space to capture different types of discontinuities such as a shock wave, contact surface or material discontinuity. The method is intended for use with large-eddy simulation of compressible transitional and turbulent flows. The method captures the discontinuities on curvilinear and anisotropic meshes with minimum impact on the smooth flow regions. The amplitude of wiggles near a discontinuity and the number of grid points used to capture the discontinuity do not depend on the mesh size. The comparisons between the proposed method and high-order shock-capturing schemes illustrate the advantage of the method for the simulation of flows involving shocks, turbulence and their interactions. The multi-dimensional formulation is tested on a variety of 1D and 2D, steady and unsteady, different types of discontinuity-related problems on curvilinear and anisotropic meshes. A simplification of the method which reduces the computational cost does not show any major detrimental effect on the discontinuity capturing under the conditions examined.