Implicit schemes for unsteady Euler equations on triangular meshes
Copyright policy )Implicit schemes for unsteady Euler equations on triangular meshes
AbstractAn implicit finite element method is presented for the solution of steady and unsteady inviscid compressible flows on triangular meshes under transonic conditions. The method involves a first‐order time‐stepping scheme with a finite element discretization that reduces to central differencing on a rectangular mesh. On a solid wall the slip condition is prescribed and the pressure is obtained from an approximation of the normal momentum equation. With this solver no artificial viscosity is added to ensure the success of the calculation. Numerical examples are given for steady and unsteady cases.
Transonic flows, central differencing, slip condition, rectangular mesh, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, first-order time-stepping scheme, Finite element methods applied to problems in fluid mechanics
Transonic flows, central differencing, slip condition, rectangular mesh, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, first-order time-stepping scheme, Finite element methods applied to problems in fluid mechanics
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