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

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).


76H05 Transonic flows


Zbl 0591.00024