Electronic Resource
High Order Numerical Simulation of Waves Using Regular Grids and Non-conforming Interfaces
| العنوان: | High Order Numerical Simulation of Waves Using Regular Grids and Non-conforming Interfaces |
|---|---|
| المؤلفون: | NORTH CAROLINA STATE UNIV AT RALEIGH, Medvinsky, Michael |
| المصدر: | DTIC |
| بيانات النشر: | 2013-10-06 |
| نوع الوثيقة: | Electronic Resource |
| مستخلص: | We study the propagation of waves over large regions of space with smooth, but not necessarily constant, material characteristics, separated into sub-domains by interfaces of arbitrary shape. We consider a divide and conquer approach based on wave splitting into incoming and outgoing waves. We assemble the overall solution from the set of individual solutions to an auxiliary problem (AP). The AP is defined independently for each sub-domain. The choice of the AP is relatively flexible; it can be formulated to enable an easy and economical numerical solution. Our new method uses only simple structured grids, e.g., Cartesian or polar, regardless of the shape of the boundaries or interfaces. In the regions of smoothness, it employs high order accurate finite difference schemes on compact stencils. They do not require any additional boundary conditions besides those needed for the underlying differential equation itself. Interfaces not aligned with the grid handled by Calderon's operators and the method of difference potentials. The method of difference potentials offers a number of important benefits for computation. It easily handles curvilinear boundaries, variable coeffcients and general boundary conditions while the complexity remains close to that of a finite difference scheme on a regular structured grid. The main advantage is that this methodology provides high order accuracy and overcomes the difficulties inherent in more traditional approaches. Sponsored in part by AFOSR under grant # FA9550-10-1-009. Prepared in cooperation with School of Mathematical Sciences, Tel Aviv University, Israel. The original document contains color images. |
| مصطلحات الفهرس: | Operations Research, MATHEMATICAL MODELS, WAVE PROPAGATION, GRIDS(COORDINATES), NUMERICAL ANALYSIS, BOUNDARY PROJECTIONS, CALDERONS OPERATORS, COMPACT DIFFERENCING, CURVILINEAR BOUNDARIES, DIFFERENCE POTENTIALS, HIGH ORDER ACCURACY, REGULAR GRIDS, VARIABLE COEFFICIENTS, PE611102, Text |
| URL: | |
| الاتاحة: | Open access content. Open access content Approved for public release; distribution is unlimited. |
| ملاحظة: | text/html English |
| Other Numbers: | DTICE ADA617619 913599192 |
| المصدر المساهم: | From OAIster®, provided by the OCLC Cooperative. |
| رقم الانضمام: | edsoai.ocn913599192 |
| قاعدة البيانات: | OAIster |
| الوصف غير متاح. |