Solution-adaptive grid generation using parabolic partial differential equations
Citations Over TimeTop 16% of 1990 papers
Abstract
A solution-adaptive parabolic grid generation scheme has been developed. A new upwind finite-volume formulation for space marching solution of the steady Euler equations is also presented. In addition, a solution- adaptive elliptic grid scheme developed previously and applied to unsteady flow solutions is applied in the present steady-flow context. Solutions for hypersonic flow are computed with the present finite-volume formulation coupled to both the parabolic and elliptic adaptive grid schemes. The results show that the solution-adaptive parabolic scheme produces grids that track the flow features of interest as well as the elliptic grid procedure. This is significant because the parabolic procedure is much faster than an elliptic scheme producing a grid in an order of magnitude of less computational time
Related Papers
- → Fourier mode analysis of the multigrid waveform relaxation and time-parallel multigrid methods(1995)45 cited
- → Multigrid methods for space fractional partial differential equations(2015)22 cited
- Numerical Solution of Partial Differential Equation via Orthogonal Wavelet and Multigrid Approach(2006)
- On several aspects and applications of the multigrid method for solving partial differential equations(1978)
- Multigrid for High-Dimensional Elliptic Equations(2006)