Accession Number : ADA482375


Title :   Algorithm Development and Application of High Order Numerical Methods for Shocked and Rapid Changing Solutions


Descriptive Note : Final rept. 1 Aug 2004-31 Jul 2007


Corporate Author : BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS


Personal Author(s) : Shu, Chi-Wang


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a482375.pdf


Report Date : 06 Dec 2007


Pagination or Media Count : 18


Abstract : We have investigated high order finite difference weighted essentially non-oscillatory (WENO) schemes, finite volume WENO schemes and discontinuous Galerkin finite element methods, for solving partial differential equations with discontinuous or rapidly changing solutions. Algorithm development, analysis, implementation and applications have been carried out. Research has been performed in all areas listed in the original proposal, and progress and results consistent with the original objectives have been obtained. There are 53 refereed journal publications (42 appeared, 11 accepted and to appear) resulting from this project. These achievements have strengthened our objective to obtain powerful and reliable high order numerical algorithms and use them to solve convection dominated problems, especially those of army interest.


Descriptors :   *NUMERICAL METHODS AND PROCEDURES , *FLUID DYNAMICS , *FINITE DIFFERENCE THEORY , GALERKIN METHOD , PARTIAL DIFFERENTIAL EQUATIONS , DISCONTINUITIES , ALGORITHMS


Subject Categories : Numerical Mathematics
      Theoretical Mathematics
      Fluid Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE