Error Estimation and Adaptive Discretization Methods in by Marshall Bern (auth.), Timothy J. Barth, Herman Deconinck

Error Estimation and Adaptive Discretization Methods in by Marshall Bern (auth.), Timothy J. Barth, Herman Deconinck

By Marshall Bern (auth.), Timothy J. Barth, Herman Deconinck (eds.)

As computational fluid dynamics (CFD) is utilized to ever extra difficult fluid move difficulties, the power to compute numerical fluid movement strategies to a consumer detailed tolerance in addition to the facility to quantify the accuracy of an current numerical resolution are noticeable as crucial elements in powerful numerical simulation. even supposing the duty of actual blunders estimation for the nonlinear equations of CFD turns out a frightening challenge, substantial attempt has founded in this problem in recent times with awesome growth being made via complicated blunders estimation thoughts and adaptive discretization tools. to deal with this crucial subject, a distinct direction wasjointly equipped by way of the NATO examine and know-how workplace (RTO), the von Karman Insti­ tute for Fluid Dynamics, and the NASA Ames examine middle. The NATO RTO backed path entitled "Error Estimation and answer Adaptive Discretization in CFD" used to be held September 10-14, 2002 on the NASA Ames study heart and October 15-19, 2002 on the von Karman Institute in Belgium. in the course of the certain path, a chain of complete lectures via best specialists mentioned contemporary advances and technical development within the region of numerical blunders estimation and adaptive discretization tools with spe­ cific emphasis on computational fluid dynamics. The lecture notes supplied during this quantity are derived from the exact direction fabric. the quantity con­ sists of 6 articles ready through the specified direction lecturers.

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Additional info for Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics

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Mesh generation and optimal triangulation. -Z. K. Hwang, editors, Computin g in Euclidean Geometry, 2nd Edition, pages 47-123. World Scientific, Singapore, 1995. 22. M. Bern and D. Eppstein. Flipping cubical meshes . In Proc. 10th International Meshing Roundtable, 2001. 23. M. Bern and D. Eppstein. Opt imal mobius transformations for information visualization and meshing . In Proc. Workshop on Algorithms and Data Structures, 2001 . 24. M. Bern , D. R . Gilbert. Provably good mesh generation. J.

3 Adjoint error corr ect ion . . . . . . . . . . . . . . . . . 4 Numeric al results . . . . . . . . . . . . . . . . . . . .. 4 Nonlinear adjoint error corr ect ion. . . . . . . . . . . . . . .. 1 Preliminaries . ...... . . . . . . . . .... . . 2 Nonlin ear th eory . . . . . . . . . . . . . . . . . . . . 4 Nonlin ear therm al diffusion . . . . . . . . . . . . . .

An adaptively-refined, Cartesian cell-based scheme for the Euler and Navier-Stokes equations . NASA Technical Memorandum 106754, NASA, October 1994. 41. W. J. Coirier and K. G. Powell. An accuracy assessment of Cartesian-mesh approaches for the Euler equations . Journal of Computational Physics, 117:121-131 , 1995. 42. M. Deering . Geometry compression. Computer Graphics, pages 13-20, 1995. 43. L. De Floriani and E. Puppo. An on-line algorithm for constrained Delaunay triangulation. Graphical Models and Image Processing .

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