Self adaptive mesh refinements and finite element methods for solving the Euler equations. (English) Zbl 0606.76076

Palmerio, B.; Billey, V.; Periaux, J.; Dervieux, A.

Numerical methods for fluid dynamics II, Proc. Conf., Reading/Uk 1985, Inst. Math. Appl. Conf. Ser., New Ser. 7, 369-387 (1986).

[For the entire collection see Zbl 0591.00024.]
We introduce for Euler solvers new improvements related to grid optimization. Indeed, in order to identify accurately the characteristics of the flow, the grid should satisfy the following important conditions:
(i) to take into account the geometry, body-fitted grids seem mandatory,
(ii) to be fine enough in the region where the equations to be solved need accuracy.
To reach objectives (i), (ii), we propose the following procedure: An initial coarse grid is generated, fulfilling only condition (i); an adaptive procedure is applied, using intermediate simulations, in order to derive from the initial grid a new grid which will satisfy conditions (i) and (ii).

MSC:

76H05

Transonic flows

Keywords:

transonic flow simulation; aircraft geometries; grid generation; Euler solvers; grid optimization; body-fitted grids; initial coarse grid; adaptive procedure; intermediate simulations

Citations:

Zbl 0591.00024