A Posteriori Analysis for Hydrodynamic Simulations Using Adjoint Methodologies

Woodward, C S ; Estep, D ; Sandelin, J ; Wang, H

关键词: HYDRODYNAMICS;    VERIFICATION;    VISCOSITY;   

DOI  :  10.2172/948972
RP-ID  :  LLNL-TR-410979
PID  :  OSTI ID: 948972
Others  :  TRN: US200909%%374

学科分类：社会科学、人文和艺术（综合）

美国|英语

来源: SciTech Connect

【 摘 要 】

This report contains results of analysis done during an FY08 feasibility study investigating the use of adjoint methodologies for a posteriori error estimation for hydrodynamics simulations. We developed an approach to adjoint analysis for these systems through use of modified equations and viscosity solutions. Targeting first the 1D Burgers equation, we include a verification of the adjoint operator for the modified equation for the Lax-Friedrichs scheme, then derivations of an a posteriori error analysis for a finite difference scheme and a discontinuous Galerkin scheme applied to this problem. We include some numerical results showing the use of the error estimate. Lastly, we develop a computable a posteriori error estimate for the MAC scheme applied to stationary Navier-Stokes.