Implicit time-accurate solutions on unstructured dynamic grids

Implicit time accurate solutions on unstructured dynamicgrids

In this paper an unstructured multigrid algorithm is used as an iterative solution procedure for the discrete equations arising from an implicit time discretisation of the unsteady Euler equations on tetra-hedral grids. To calculate unsteady ows due to oscillating boundaries , a novel grid movement algorithm is introduced, in which an elliptic equation with a nonlinear diiusion coeecient is use...

A New Implicit Dissipation Term for Solving 3D Euler Equations on Unstructured Grids by GMRES+LU-SGS Scheme

Due to improvements in computational resources, interest has recently increased in using implicit scheme for solving flow equations on 3D unstructured grids. However, most of the implicit schemes produce greater numerical diffusion error than their corresponding explicit schemes. This stems from the fact that in linearizing implicit fluxes, it is conventional to replace the Jacobian matrix in t...

Implicit Time Integration Algorithms For High-Order Methods On Unstructured Tetrahedral Grids With p−Multigrid Strategy

Computational fluid dynamics has undergone tremendous development as a discipline for three decades. This has been made possible by progresses in many fronts, including numerical algorithms, grid generation and adaptation, as well as the dramatic increase in computer CPU speeds. Moreover, in recent years there is a growing interest in multidisciplinary CFD applications such as aeroacoustics, tu...

A New Implicit Dissipation Term for Solving 3D Euler Equations on Unstructured Grids by GMRES+LU-SGS Scheme

Due to improvements in computational resources, interest has recently increased in using implicit scheme for solving flow equations on 3D unstructured grids. However, most of the implicit schemes produce greater numerical diffusion error than their corresponding explicit schemes. This stems from the fact that in linearizing implicit fluxes, it is conventional to replace the Jacobian matrix in t...

Transonic Turbulent Flow Computations on Unstructured Triangular Grids