3.4 Development and Application of High Order Accurate Algorithms
Abstract
We propose to perform research on the investigation of high order accurate finite difference and finite volume weighted essentially non-oscillatory (WENO) schemes and discontinuous Galerkin (DB) finite element methods, for solving partial differential equations in computational fluid dynamics and other applications. Algorithm development, analysis, implementation and applications will be carried out. The goal of this project is to help obtaining more robust, cost effective, and reliable numerical tools for solving problems in physical applications, such as computational fluid dynamics, traffic and pedestrian flow models, cosmological turbulent flows, and optimal control. An emphasis during the proposed work period will be on a study of new computational methodologies, to improve the range of applicability, efficiency, and robustness of the proposed methods for various physical problems. Specific topics to be investigated include DG schemes for the simulation of complicated flow problems, positivity-preserving Langrangian type finite volume methods for multi-material flows, analysis and numerical simulations for traffic and pedstrian flow models, and turbulence simulation in cosmology. Attention will be paid to Army related applications.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jan 12, 2017
- Source ID
- W911NF1510226
Entities
People
- Chi-Wang Shu
Organizations
- Army Contracting Command
- Brown University
- United States Army