Numerical Simulation of Time-Dependent Waves with High Order Accuracy and Interfaces of General Shape
Abstract
The proposal will l investigate an entire new class of high order accurate and efficient numerical simulation techniques for a broad range of unsteady wave propagation problems that involve geometrically large regions with smooth material characteristics separated by several interface boundaries. The approach in this proposal will be to derive a high order accurate numerical simulation technique for a broad class of problems that involve geometrically large regions with smooth material characteristics that are separated by several interface boundaries. Three major components of this work include: (a) compact equation-based high order accurate schemes; (b) discrete Calderon s projections and difference potentials; (c) and the application of Huygens principle. These respective components will help to: (a) lower computational complexity; (b) account for nonconforming geometrics; (c) and replace the long time integration by integrating over bounded time intervals. This work will extend compact schemes from the frequency domain to the time domain, and use lacunae for the efficient computation of unsteady Calderon s operators. This should create a methodology with the desired properties of high order accuracy and low computational complexity combined with geometric flexibility on structured grids.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jan 12, 2017
- Source ID
- W911NF1610115
Entities
People
- Semyon Tsynkov
Organizations
- Army Contracting Command
- North Carolina State University
- United States Army