Journal ArticleDOI
Solving Immersed Interface Problems Using a New Interfacial Points-Based Finite Difference Approach
H. V. R. Mittal,Rajendra K. Ray +1 more
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A new finite difference scheme based on the higher-order compact technique is presented for solving problems with complex immersed interfaces in arbitrary dimensions.Abstract:
A new finite difference scheme based on the higher-order compact technique is presented for solving problems with complex immersed interfaces in arbitrary dimensions. The scheme is designed for gen...read more
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Journal ArticleDOI
The heterogeneous multiscale method to study particle size and partitioning effects in drug delivery
K.S. Yadav,D.C. Dalal +1 more
TL;DR: It is concluded that partition phenomenon and particle size are the important factors on tissue penetration efficacy of nanoparticles in drug delivery.
Journal ArticleDOI
A coupled immersed interface and level set method for simulation of interfacial flows steered by surface tension
TL;DR: In this article, the Lagrange interpolation method was used to solve the problem of bubbles and drops evolving in incompressible, viscous flows due to the effect of surface tension, which is based on the combination of a recently developed immersed interface method to resolve discontinuities, with the level set method to reproduce the evolving interfaces.
Journal ArticleDOI
Effects of cell permeability on distribution and penetration of drug in biological tissues: a multiscale approach
TL;DR: In this paper , a finite volume heterogeneous multiscale method (FVHMM-p) is proposed to study drug delivery into biological tissues, which involves models at two scales: macroscale (tissue scale) and microscale (cell scale).
Book ChapterDOI
Numerical Comparison of Different Approaches for the Fractured Medium Simulation
TL;DR: In this article, the authors investigated the dynamic loading of fractured media in many applications like the seismic survey process, non-invasive material quality control, and fatigue failure of samples.
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