Practical aspects of spatially high accurate methodsThe computational qualities of high order spatially accurate methods for the finite volume solution of the Euler equations are presented. Two dimensional essentially non-oscillatory (ENO), k-exact, and 'dimension by dimension' ENO reconstruction operators are discussed and compared in terms of reconstruction and solution accuracy, computational cost and oscillatory behavior in supersonic flows with shocks. Inherent steady state convergence difficulties are demonstrated for adaptive stencil algorithms. An exact solution to the heat equation is used to determine reconstruction error, and the computational intensity is reflected in operation counts. Standard MUSCL differencing is included for comparison. Numerical experiments presented include the Ringleb flow for numerical accuracy and a shock reflection problem. A vortex-shock interaction demonstrates the ability of the ENO scheme to excel in simulating unsteady high-frequency flow physics.
Document ID
19920039545
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Godfrey, Andrew G. (Virginia Polytechnic Inst. and State Univ. Blacksburg, VA, United States)
Mitchell, Curtis R. (Virginia Polytechnic Inst. and State Univ. Blacksburg, VA, United States)
Walters, Robert W. (Virginia Polytechnic Institute and State University Blacksburg, United States)