H-p adaptive finite-element method for steady compressible flow
An h-p adaptive finite-element method is derived for the numerical simulation of the compressible Navier-Stokes equations. Several numerical algorithms are compared for the simulation of one- and two-dimensional convection problems. An adaptive procedure is developed for simultaneously refining the finite-element grid and increasing the degree of the polynomial approximation. Adaptive strategies are developed for both steady-state and time-dependent problems. Finally, convergence acceleration techniques such as a block Jacobi method, a multigrid acceleration technique for adaptively refined meshes, and an element-elimination technique are developed and implemented. Representative two-dimensional problems in compressible viscous flow are solved.
- Research Organization:
- Texas Univ., Austin (USA)
- OSTI ID:
- 7199371
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
420400* -- Engineering-- Heat Transfer & Fluid Flow
COMPRESSIBLE FLOW
DIFFERENTIAL EQUATIONS
EQUATIONS
FINITE ELEMENT METHOD
FLUID FLOW
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION
STEADY FLOW
STEADY-STATE CONDITIONS
TIME DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS