Summation by parts for finite difference approximations for d/dx
Journal of Computational Physics
A stable and conservative interface treatment of arbitrary spatial accuracy
Journal of Computational Physics
Journal of Computational Physics
High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates
Journal of Computational Physics
Finite volume methods, unstructured meshes and strict stability for hyperbolic problems
Applied Numerical Mathematics
A UNIFIED MULTIGRID SOLVER FOR THE NAVIER-STOKES EQUATIONS ON MIXED ELEMENT MESHES
A UNIFIED MULTIGRID SOLVER FOR THE NAVIER-STOKES EQUATIONS ON MIXED ELEMENT MESHES
Applied Numerical Mathematics
Summation by parts operators for finite difference approximations of second derivatives
Journal of Computational Physics
A stable hybrid method for hyperbolic problems
Journal of Computational Physics
Journal of Scientific Computing
On the order of accuracy for difference approximations of initial-boundary value problems
Journal of Computational Physics
Stable artificial dissipation operators for finite volume schemes on unstructured grids
Applied Numerical Mathematics
A stable and conservative high order multi-block method for the compressible Navier-Stokes equations
Journal of Computational Physics
Interface procedures for finite difference approximations of the advection-diffusion equation
Journal of Computational and Applied Mathematics
Journal of Computational Physics
Hi-index | 31.46 |
In this paper, we present a stable hybrid scheme for viscous problems. The hybrid method combines the unstructured finite volume method with high-order finite difference methods on complex geometries. The coupling procedure between the two numerical methods is based on energy estimates and stable interface conditions are constructed. Numerical calculations show that the hybrid method is efficient and accurate.