Finite elements and finite differences for transonic flow calculationsThe paper reviews the chief finite difference and finite element techniques used for numerical solution of nonlinear mixed elliptic-hyperbolic equations governing transonic flow. The forms of the governing equations for unsteady two-dimensional transonic flow considered are the Euler equation, the full potential equation in both conservative and nonconservative form, the transonic small-disturbance equation in both conservative and nonconservative form, and the hodograph equations for the small-disturbance case and the full-potential case. Finite difference methods considered include time-dependent methods, relaxation methods, semidirect methods, and hybrid methods. Finite element methods include finite element Lax-Wendroff schemes, implicit Galerkin method, mixed variational principles, dual iterative procedures, optimal control methods and least squares.
Document ID
19790032202
Acquisition Source
Legacy CDMS
Document Type
Other - Collected Works
Authors
Hafez, M. M. (Flow Research, Inc. Kent, WA, United States)
Murman, E. M. (Flow Research Co. Kent, Wash., United States)
Wellford, L. C. (Southern California, University Los Angeles, Calif., United States)