High-Order Nonlinearly stable WENO schemes for the 3-D Navier-Stokes Equations
Abstract
The objective of the proposed research is to devise a new class of high-order nonl inearly stable weighted essentially non-oscillatory (WENO) spectral collocation schemes for solving the 3-D unsteady compressible Navier-Stokes equations on unstructured hexahedral grids. The proposed methodology will investigate new 3-D high-order WENO spectral collocation schemes that are provably stable in the entropy sense for both continuous and discontinuous solutions. A key aspect of th is project is to construct new 3-0 conservative WE 0 spectral collocation operators that satisfy the summation-by-parts (SBP) convention, provide the stencil biasing mechanics across element interfaces, and preserve the superconvergence properties of the underline SC operators. Since the new WENO operators satisfy the SBP condition and discrete entropy inequality. the proposed high-order spectral collocation formu lation faci litates a nonlinear L2-stabi lity proof for the symmetric form of the di scretized 3-D Navier-Stokes equations on unstructured hexahedral collocated grids.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jan 12, 2017
- Source ID
- W911NF1510318
Entities
People
- Nail Yamaleev
Organizations
- Army Contracting Command
- North Carolina Agricultural and Technical State University
- United States Army