A New High-Order Accurate Approach for Modeling of Wave Propagation and Heat Transfer in Heterogeneous Materials
Abstract
Major Goals: The time-independent Poisson equation for heterogeneous materials: a) To develop OLTEM for with 9-point and 25-point stencils for curvilinear interfaces and unfitted Cartesian meshes. b) To show that the accuracy of OLTEM is practically independent of the location of unfitted Cartesian meshes with respect to interfaces. c) To solve benchmark problems showing the advantages of OLTEM compared to linear and high-order finite elements (a significant reduction in the computation time by a factor of 1000 and more for OLTEM at a given accuracy as well as the use of trivial unfitted Cartesian meshes for domains with irregular interfaces). The time-dependent wave and heat equations for heterogeneous materials: a) To develop OLTEM with 9-point stencils for the wave and heat equations with complicated curvilinear interfaces and unfitted Cartesian meshes. b) To show that the accuracy of OLTEM is practically independent of the location of unfitted Cartesian meshes with respect to interfaces. c) To solve benchmark problems showing the advantages of OLTEM compared to linear and high-order finite elements (a significant reduction in the computation time by a factor of 1000 and more for the new approach at a given accuracy as well as the use of trivial unfitted Cartesian meshes for domains with irregular interfaces).
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 30, 2022
- Accession Number
- AD1190374
Entities
People
- Alexander V Idesman
Organizations
- Texas Tech University