Timedependent sweep finite element analysis of transonic flow
Abstract
The method proposed here seeks to extend and improve the adaptability of the finite element method to the area of fluid dynamics. The basic equations of gas dynamics are used here directly as the governing differential equations, while the field parameters (pressure, temperature, and velocity components) are taken as basic variables. In this way, the effect of viscosity and heat conduction may be taken into account. Since each element is an independent unit of calculation, the method is more adaptable; the boundary conditions are satisfied in calculations involving elements located along the boundary. Sweep calculations of consecutive elements replace the calculation of the entire flow field. The computation procedure may therefore be simplified since the number of unknowns in the nonlinear algebraic equations to be solved simultaneously is greatly reduced.
 Publication:

Finite Element Flow Analysis
 Pub Date:
 1982
 Bibcode:
 1982fefa.proc..411S
 Keywords:

 Computational Fluid Dynamics;
 Finite Element Method;
 Time Dependence;
 Transonic Flow;
 Conservation Laws;
 Flow Distribution;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer