Immersed interface method
Witryna1 wrz 2003 · Though the immersed interface method of LeVeque and Li (1994) can be globally second order, it is often difficult to apply to complex multi-dimensional flow. This paper presents a new high-order ... WitrynaThe authors develop finite difference methods for elliptic equations of the form \\[ \\nabla \\cdot (\\beta (x)\\nabla u(x)) + \\kappa (x)u(x) = f(x)\\] in a region $\\Omega $ in one or …
Immersed interface method
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Witryna20 sie 2015 · In this paper, an immersed interface method is presented to simulate the dynamics of inextensible interfaces in an incompressible flow. The tension is introduced as an augmented variable to satisfy the constraint of interface inextensibility and the resulting augmented system is solved by the GMRES method. In this work, the … Witryna4 mar 2024 · Yang J. Sharp interface direct forcing immersed boundary methods: A summary of some algorithms and applications [J]. Journal of Hydrodynamics, 2016, 28(5): 713–730. Article Google Scholar Kajishima T., Takeuchi S. Simulation of fluid-structure interaction based on an immersed-solid method [J].
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 …
Witryna1 wrz 2007 · A fairly simple 3D immersed interface method based on the CG-Uzawa type method and the level set representation of the interface is employed for solving … 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 …
Witryna1 paź 2003 · An immersed interface method for solving linear elasticity problems with two phases separated by an interface has been developed in this paper.
Witryna12 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 … scrapped in astronaut languageWitryna21 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 … scrapped in a sentenceWitryna13 kwi 2024 · The immersed boundary method is a methodology for dealing with boundary conditions at fluid–fluid and fluid–solid interfaces. The immersed boundary … scrapped in frenchWitrynathe 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. scrapped in chineseWitryna1 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 … scrapped in tagalogWitryna28 maj 2015 · The immersed interface method is modified to compute Schrödinger equation with discontinuous potential. By building the jump conditions of the solution … scrapped in spanishWitrynaAbstract. Fluid-structure interaction is ubiquitous in nature and occurs at all biological scales. Immersed methods provide mathematical and computational frameworks for … scrapped in hindi