Efficient Implementation of WENO for Steady Incompressible Flows

Overview

GOALS

WENO: Weighted Non-Oscillatory

Model Problem

CFD Scheme

CFD Schemes

CFD Schemes

CFD Schemes

ENO Schemes

ENO Scheme

WENO: Weighted Non-Oscillatory

WENO Schemes

WENO Rebuilding Nonlinear Terms from Cell Averages

WENO Rebuilding Nonlinear Terms from Cell Averages

ENO vs. WENO

WENO 1D Cases

WENO 1D Cases

WENO 1D Cases

WENO 1D Cases

WENO 1D Cases

WENO Weights

WENO in 2D: NS

Driven Cavity

WENO in 2D

WENO 2D Cases

SUMMARY

FUTURE

PETSc Portable, Extensible Toolkit for Scientific Computation -Parallel Numerical Tool

PETSc Non-Linear Solver Error Norms

PETSc Linear Solver Error Norms