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...

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

Implicit Method for the Computation of Unsteady Flows on Unstructured Grids

An implicit method for the computation of unsteady ows on unstructured grids is presented. Following a nite di erence approximation for the time derivative, the resulting nonlinear system of equations is solved at each time step by using an agglomeration multigrid procedure. The method allows for arbitrarily large time steps and is e cient in terms of computational e ort and storage. Inviscid a...