A Hybrid Method for Moving Interface Problems with Application to the Hele–Shaw Flow

A Hybrid Method for Moving Interface Problems with Application to the Hele-Shaw Flow

A Hybrid Method for Moving Interface Problems with Application to the Hele-shaw Flow

In this paper, a hybrid approach which combines the immersed interface method with the level set approach is presented. The fast version of the immersed interface method Li, 1995], is used to solve the diierential equations whose solutions and their derivatives may be discontinuous across the interfaces due to the discontinuity of the coeecients or/and singular sources along the interfaces. The...

a new type-ii fuzzy logic based controller for non-linear dynamical systems with application to 3-psp parallel robot

abstract type-ii fuzzy logic has shown its superiority over traditional fuzzy logic when dealing with uncertainty. type-ii fuzzy logic controllers are however newer and more promising approaches that have been recently applied to various fields due to their significant contribution especially when the noise (as an important instance of uncertainty) emerges. during the design of type- i fuz...

A grid based particle method for moving interface problems

We propose a novel algorithm for modeling interface motions. The interface is represented and is tracked using quasi-uniform meshless particles. These particles are sampled according to an underlying grid such that each particle is associated to a grid point which is in the neighborhood of the interface. The underlying grid provides an Eulerian reference and local sampling rate for particles on...

Uniform Error Estimates for Navier-stokes Flow with a Moving Boundary Using the Immersed Interface Method

We prove that uniform accuracy of almost second order can be achieved with a finite difference method applied to Navier-Stokes flow at low Reynolds number with a moving boundary, or interface, creating jumps in the velocity gradient and pressure. Difference operators are corrected to O(h) near the interface using the immersed interface method, adding terms related to the jumps, on a regular gri...