A second-order accurate pressure correction scheme for viscous incompressible flow
SIAM Journal on Scientific and Statistical Computing
Convergence behaviour of defect correction for hyperbolic equations
Journal of Computational and Applied Mathematics
Applied numerical linear algebra
Applied numerical linear algebra
Local reconstruction of a vector field from its normal components on the faces of grid cells
Journal of Computational Physics
Computing flows on general three-dimensional nonsmooth staggered grids
Journal of Computational Physics
A composite scheme for gas dynamics in Lagrangian coordinates
Journal of Computational Physics
Conservation properties of unstructured staggered mesh schemes
Journal of Computational Physics
Journal of Computational Physics
An upwind finite difference scheme for meshless solvers
Journal of Computational Physics
Journal of Computational Physics
Scalable software infrastructure project
Proceedings of the 2006 ACM/IEEE conference on Supercomputing
Journal of Computational Physics
Hi-index | 31.45 |
We propose a novel algorithm for velocity reconstruction from staggered data on arbitrary polygonal staggered meshes. The formulation of the new algorithm is based on a constant polynomial reconstruction approach in conjunction with an iterative defect correction method and is referred to as the IDeC(k) reconstruction. The algorithm is designed for second order accuracy of the reconstructed velocity field and also leads to a consistent estimate of velocity gradients. Accuracy, convergence and robustness of the new algorithm are studied on different mesh topologies and the need for higher-order reconstruction is demonstrated. Numerical experiments for several cases including incompressible viscous flows establish the IDeC(k) reconstruction as a generic, fast, robust and higher-order accurate algorithm on arbitrary polygonal meshes.