A new ghost cell/level set method for moving boundary problems:application to tumor growth [PDF]
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-steady reaction-diffusion equations with curvature-dependent boundary conditions.
Macklin, Paul, Lowengrub, John S.
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Analytical Solution for Rheological Consolidation of Soft Clay with Threshold Hydraulic Gradient
The influence of a threshold gradient of water flow in soft clays on consolidation behavior has been gradually recognized. However, the consolidation theory with consideration of a threshold hydraulic gradient and rheological characteristics has rarely ...
Chuanxun LI, Haotian MA, Dandan JIN
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A non-field analytical method for heat transfer problems through a moving boundary. [PDF]
Kulish V, Horák V.
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One dimensional parabolic free boundary problems
The method of lines is used to approximate explicit and implicit free boundary problems for a linear one dimensional diffusion equation with a sequence of free boundary problems for ordinary differential equations.
Meyer, G H
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A comparative study of immersed-boundary interpolation methods for a flow around a stationary cylinder at low Reynolds number [PDF]
The accuracy and computational efficiency of various interpolation methods for the implementation of non grid-confirming boundaries is assessed. The aim of the research is to select an interpolation method that is both efficient and sufficiently accurate
Wissink, J +5 more
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Numerical solution of the time fractional reaction–diffusion equation with a moving boundary
A fractional reaction-diffusion model with a moving boundary is presented in this paper. An efficient numerical method is constructed to solve this moving boundary problem.
Liu, Fawang +9 more
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In this work, the explicit boundary-condition-enforced immersed boundary method (EIBM) and the lattice Boltzmann flux solver (LBFS) are integrated into OpenFOAM to efficiently solve incompressible flows with complex geometries and moving boundaries.
Yangyang Liu +3 more
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On Advances of Diffuse‑Interface Immersed Boundary Method and Its Applications
The diffuse-interface immersed boundary method (IBM) possesses excellent capabilities for simulating flows around complex geometries and moving boundaries.
YANG Liming +4 more
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Efficient Numerical Modelling of Field Diffusion in High-Temperature Superconducting Wires
Multidimensional field diffusion problems with front-type behaviour, moving boundaries and non-linear material properties are analysed by a finite volume front fixing method.
Golosnoy, Igor O. +5 more
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Optimal control of a moving boundary by laser heating in a 2-phase Stefan problem
The 2-phase heat control problem by a single laser point input is studied and a method of overcoming the moving boundary problem is introduced. This is achieved by applying a sequence of linear time varying control problems which converge to the single ...
Xu, Xu +3 more
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