Time dependent boundary conditions for hyperbolic systems
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
Algorithm for solving tridiagonal matrix problems in parallel
Parallel Computing
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
Low-dissipative high-order shock-capturing methods using characteristic-based filters
Journal of Computational Physics
Using MPI (2nd ed.): portable parallel programming with the message-passing interface
Using MPI (2nd ed.): portable parallel programming with the message-passing interface
Multi-block large-eddy simulations of turbulent boundary layers
Journal of Computational Physics
Conservative hybrid compact-WENO schemes for shock-turbulence interaction
Journal of Computational Physics
On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
Journal of Computational Physics
Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws
Parallel Directionally Split Solver Based on Reformulation of Pipelined Thomas Algorithm
Parallel Directionally Split Solver Based on Reformulation of Pipelined Thomas Algorithm
A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws
Journal of Computational Physics
High-order Compact Schemes with Filters on Multi-block Domains
Journal of Scientific Computing
Tera-Scalable Algorithms for Variable-Density Elliptic Hydrodynamics with Spectral Accuracy
SC '05 Proceedings of the 2005 ACM/IEEE conference on Supercomputing
High-resolution finite compact difference schemes for hyperbolic conservation laws
Journal of Computational Physics
A new compact scheme for parallel computing using domain decomposition
Journal of Computational Physics
Multi-domain hybrid spectral-WENO methods for hyperbolic conservation laws
Journal of Computational Physics
A new family of high-order compact upwind difference schemes with good spectral resolution
Journal of Computational Physics
Stability criteria for hybrid difference methods
Journal of Computational Physics
Journal of Computational Physics
Interface procedures for finite difference approximations of the advection-diffusion equation
Journal of Computational and Applied Mathematics
Hi-index | 31.45 |
A new multi-block hybrid compact-WENO finite-difference method for the massively parallel computation of compressible flows is presented. In contrast to earlier methods, our approach breaks the global dependence of compact methods by using explicit finite-difference methods at block interfaces and is fully conservative. The resulting method is fifth- and sixth-order accurate for the convective and diffusive fluxes, respectively. The impact of the explicit interface treatment on the stability and accuracy of the multi-block method is quantified for the advection and diffusion equations. Numerical errors increase slightly as the number of blocks is increased. It is also found that the maximum allowable time steps increase with the number of blocks. The method demonstrates excellent scalability on up to 1264 processors.