Numerical Solution of the Compressible Boundary-Layer Equations Using the Finite Element Method
暂无分享,去创建一个
We study the application of the finite element method (FEM) to the boundary-layer equations governing both incompressible (with heat transfer) and compressible fluids in two dimensions. Numerical solutions for this set of equations have traditionally been obtained using the finite difference method (FDM), where the derivatives are approximated by difference quotients resulting in an algebraic representation of the partial differential equations. In FEM, the flow region is subdivided into a number of small regions called finite elements, and the dependent variables are interpolated within each element by functions of compatible order
[1] D. R. Hartree,et al. On an equation occurring in Falkner and Skan's approximate treatment of the equations of the boundary layer , 1937, Mathematical Proceedings of the Cambridge Philosophical Society.
[2] J. Tinsley Oden,et al. Analysis of Flow of Viscous Fluids by the Finite-Element Method , 1972 .
[3] C.A.J. Fletcher,et al. The group finite element formulation , 1983 .