Immersed interface method
WitrynaThe complexity of the interfaces makes it more difficult to develop efficient numerical methods.Our immersed interface method is motivated by and related to Peskin's … Witryna21 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 …
Immersed interface method
Did you know?
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 … Witryna6 cze 2003 · Wiegmann, A.: The explicit jump immersed interface method and interface problems for differential equations. PhD thesis, University of Washington, 1998. Wiegmann, A., Bube, K.: The immersed interface method for nonlinear differential equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal. …
WitrynaTHE IMMERSED INTERFACE METHOD FOR ELLIPTIC EQUATIONS WITH DISCONTINUOUS COEFFICIENTS AND SINGULAR SOURCES* RANDALL J. … Witryna3 cze 2015 · In this paper, a numerical method is presented for simulating the 3D interfacial flows with insoluble surfactant. The numerical scheme consists of a 3D immersed interface method (IIM) for solving Stokes equations with jumps across the interface and a 3D level-set method for solving the surfactant convection-diffusion …
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 …
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.
Witryna15 mar 2024 · , A finite element method for interface problems in domains with smooth boundaries and interfaces, Adv. Comput. Math. 6 (1996) 109 – 138. Google Scholar Cross Ref [6] Berthelsen P.A., A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions, J. Comput. tss433120dWitryna22 sie 2024 · This article presents an immersed virtual element method for solving a class of interface problems that combines the advantages of both body-fitted … phishwall dnpWitryna31 gru 1993 · The complexity of the interfaces makes it more difficult to develop efficient numerical methods.Our immersed interface method is motivated by and related to Peskin's immersed boundary method (IBM) for solving incompressible Navier-Stokes equations with complicated boundaries. Our method, however, can apply to more … phishwall cpuWitryna10 sie 2001 · Peskin's Immersed Boundary Method has been widely used for simulating many fluid mechanics and biology problems. One of the essential components of the … tss 410 shotgun ammoWitryna1 sty 2006 · Immersed interface method (IIM) [20,23, 24] is a typical sharp interface method based on a triangular mesh or Cartesian grid which is interfaceindependent. … tss430Witryna13 kwi 2024 · In this paper, an enriched reproducing kernel particle method combined with stabilized conforming nodal integration (SCNI) is proposed to tackle material interface problems. Regarding the domain integration, the use of SCNI offers an effective NI technique and eliminates the zero-energy modes which occurs to direct … phishwall downloadWitryna1 lip 2006 · The Immersed Interface Method: Numerical Solutions of PDEs Involving Interfaces and Irregular Domains Volume 33 of Frontiers in Applied Mathematics: … phishwall edge ie mode addon