Immersed interface method
WitrynaAbstract This article presents an immersed virtual element method for solving a class of interface problems that combines the advantages of both body- tted mesh methods and un tted mesh methods. A background body- tted mesh is gener-ated initially. On those interface elements, virtual element spaces are constructed as solution spaces to local ... WitrynaAccess to Project Euclid content from this IP address has been suspended. If your organization is a subscriber, please contact your librarian/institutional administrator. If …
Immersed interface method
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WitrynaImmersed interface method, discontinuities and singularities, interface problems and problems on irregular domain, free boundary/moving interface problems, … WitrynaTwo typical interface conditions are considered. One condition occurs in Stefan-like problems in which the solution is known on the interface. A new stable interpolation strategy is proposed. The other type occurs in a one-dimensional model of Peskin’s immersed boundary method in which only jump conditions are given across the …
WitrynaBook: The Immersed Interface Method -- Numerical Solutions of PDEs Involving Interfaces and Irregular Domains, Zhilin Li and Kazufumi Ito, SIAM Frontiers in … WitrynaAn Immersed Interface Method for Viscous Incompressible Flows Involving Rigid and Flexible Boundaries D.V. Le1 , B.C. Khoo1,2 , and J. Peraire1,3 1 Singapore-MIT Alliance 2 National University of Singapore, Mechanical Engineering Department 3 Massachusetts Institute of Technology, Department of Aeronautics and Astronautics …
Witrynathe immersed interface method for certain one-dimensional nonlinear problem with a fixedinterface. However, for the interface problems discussed here the interface is unknown and moving, and the discrete difference scheme is a nonlinear system of equations involving both the solution and the interface. Witryna1 mar 2024 · An immersed interface-lattice Boltzmann method (II-LBM) is developed for modeling fluid-structure systems. The key element of this approach is the determination of the jump conditions that are satisfied by the distribution functions within the framework of the lattice Boltzmann method where forces are imposed along a …
Witryna10 wrz 2024 · Elliptic interface problems have wide applications in engineering and science. Non-body-fitted grid has the advantage of saving the cost of mesh generation. In this paper, we propose a Petrov-Galerkin formulation using non-body-fitted grid for solving elliptic interface problems. In this method, adaptive mesh refinement is …
Witryna10 sie 2006 · The immersed interface method was originally proposed for elliptic equations [17] and Stokes equations [18]. Later, it was extended to one-dimensional … china men hockey teamWitryna1 paź 2003 · An immersed interface method for solving linear elasticity problems with two phases separated by an interface has been developed in this paper. grainger eyewashWitryna1 sty 2024 · The immersed interface method (IIM) is an IB-like approach to FSI that sharply imposes stress jump conditions, enabling higher-order accuracy, but prior … china men hooded sweatshirts supplierWitryna1 lip 2006 · This book provides an introduction to the immersed interface method (IIM), a powerful numerical method for solving interface problems and problems defined on irregular domains for which analytic solutions are rarely available. This book gives a complete description of the IIM, discusses recent progress in the area, and describes … china men hooded sweatshirts factoriesWitrynaAbstract. Fluid-structure interaction is ubiquitous in nature and occurs at all biological scales. Immersed methods provide mathematical and computational frameworks for … china men hooded sweatshirts factoryWitryna21 sty 2014 · A novel Douglas alternating direction implicit (ADI) method is proposed in this work to solve a two-dimensional (2D) heat equation with interfaces. The ADI scheme is a powerful finite difference method for solving parabolic equations, due to its unconditional stability and high efficiency. However, it suffers from a serious accuracy … grainger farmers branchWitryna12 kwi 2024 · The motivation of this paper is to examine the evaluation of local surface stresses and hydrodynamic forces acting on a stationary or moving body using a … grainger farmington hills