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JSCIC
2008
58views more  JSCIC 2008»
9 years 11 months ago
A Local Semi-Implicit Level-Set Method for Interface Motion
Abstract This paper proposes and implements a novel hybrid level set method which combines the numerical efficiency of the local level set approach with the temporal stability affo...
David Salac, Wei Lu
JSCIC
2008
148views more  JSCIC 2008»
9 years 11 months ago
Finite Element-Based Level Set Methods for Higher Order Flows
In this paper we shall discuss the numerical simulation of higher order geometric flows by level set methods. Main examples under considerations are surface diffusion and the Will...
Martin Burger, Christina Stöcker, Axel Voigt
JSCIC
2008
129views more  JSCIC 2008»
9 years 11 months ago
Level Set Equations on Surfaces via the Closest Point Method
Abstract Level set methods have been used in a great number of applications in R2 and R3 and it is natural to consider extending some of these methods to problems defined on surfac...
Colin B. Macdonald, Steven J. Ruuth
JSCIC
2008
94views more  JSCIC 2008»
9 years 11 months ago
Second-Order Accurate Computation of Curvatures in a Level Set Framework Using Novel High-Order Reinitialization Schemes
Abstract We present a high-order accurate scheme for the reinitialization equation of Sussman et al. (J. Comput. Phys. 114:146
Antoine du Chéné, Chohong Min, Fr&ea...
JSCIC
2008
79views more  JSCIC 2008»
9 years 11 months ago
A New Ghost Cell/Level Set Method for Moving Boundary Problems: Application to Tumor Growth
Abstract In this paper, we present a ghost cell/level set method for the evolution of interfaces whose normal velocity depend upon the solutions of linear and nonlinear quasi-stead...
Paul Macklin, John Lowengrub
JSCIC
2008
107views more  JSCIC 2008»
9 years 11 months ago
A Hierarchy of Approximations of the Master Equation Scaled by a Size Parameter
Solutions of the master equation are approximated using a hierarchy of models based on the solution of ordinary differential equations: the macroscopic equations, the linear noise...
Lars Ferm, Per Lötstedt, Andreas Hellander
JSCIC
2008
96views more  JSCIC 2008»
9 years 11 months ago
Second-Order Accurate Godunov Scheme for Multicomponent Flows on Moving Triangular Meshes
This paper presents a second-order accurate adaptive Godunov method for twodimensional (2D) compressible multicomponent flows, which is an extension of the previous adaptive movin...
Guoxian Chen, Huazhong Tang, Pingwen Zhang
JSCIC
2008
66views more  JSCIC 2008»
9 years 11 months ago
Mesh Redistribution Strategies and Finite Element Schemes for Hyperbolic Conservation Laws
In this work we consider a new class of Relaxation Finite Element schemes for Conservation Laws, with more stable behavior on the limit area of the relaxation parameter. Combine t...
Christos Arvanitis
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