Adaptive grid generation by minimizing residuals
Article first published online: 29 AUG 2002
Copyright © 2002 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Fluids
Special Issue: ICFD Conference on Numerical Methods for Fluid Dynamics
Volume 40, Issue 1-2, pages 121–136, 10 - 20 September 2002
How to Cite
Roe, P. and Nishikawa, H. (2002), Adaptive grid generation by minimizing residuals. Int. J. Numer. Meth. Fluids, 40: 121–136. doi: 10.1002/fld.336
- Issue published online: 29 AUG 2002
- Article first published online: 29 AUG 2002
- Manuscript Revised: SEP 2001
- Manuscript Received: MAY 2001
We describe recent developments in the method of fluctuation splitting, in particular the minimization of residuals with respect to both the nodal values of the solution and also the nodal co-ordinates. For elliptic problems, including external (lifting) flows, obtaining good results requires that the residuals be evaluated to third order. Solutions to typical airfoil problems can then be obtained with very economical grids. For hyperbolic problems, only a second-order evaluation of the residual is needed. Shocks can be incorporated with arbitrarily high resolution by allowing elements to shrink to zero area, but to exclude the possibility of rarefaction shocks an adaptive quadrature must be employed. Copyright © 2002 John Wiley & Sons, Ltd.