Algorithm Issues and Challenges Associated with the Development of Robust CFD Codes
Over the next 20 years, Boeing will likely develop, manufacture, sell, and support many thousands of vehicles that fly. During this period, Boeing project aerodynamicists need access to tools that accurately predict and confirm vehicle flight characteristics. Thirty years ago, these tools consisted almost entirely of analytic approximation methods, wind tunnel tests, and flight tests.With the development of increasingly powerful computers, numerical simulations of various approximations to the Navier–Stokes equations have begun supplementing these tools. Collectively, these numerical simulation methods have become known as computational fluid dynamics (CFD). This chapter describes the algorithm issues and challenges associated with the development of reliable Navier–Stokes codes that can be used by a wide variety of project engineers who do not necessarily have a deep background in numerical methods.
KeywordsCoarse Grid Discontinuous Galerkin Error Indicator Grid Adaption Computational Fluid Dynamic Code
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The authors thank our colleague, Dmitrii Kamenetskii of the Keldysh Institute in Moscow, for valuable results regarding aspects of the SUPG method. We also thank our colleague, Andrey Wolkov of the Boeing Technical Research Center, Moscow, for similar results regarding the DG method. Finally, we thank our colleagues Victor Zhukov and Olga Feodoritova of the Keldysh Institute for valuable results regarding domain decomposition and multigrid methods.
- 2.Hughes, T. J. R. and Brooks, A., Multi-dimensional Upwind Scheme With No Crosswind Diffusion, Finite Element Methods for Convection Dominated Flows, New York, 1979, ASME.Google Scholar
- 4.Venkatakrishnan, V., Allmaras, S.R., Kamenetskii, D., and Johnson, F.T., Higher Order Schemes for the Compressible Navier-Stokes Equations, AIAA Paper 2003-3987, 16th AIAA Computational Fluid Dynamics Conference, June 23–26, 2003, Orlando, FL.Google Scholar