Then, a unified conservative gas-kinetic scheme is developed for the viscous flow computation in the moving grid system in the Eulerian space.
The methods employs a moving grid technique and a projection scheme based on low-order Crouzeix Raviart and P1 finite elements.
In this paper, a novel approach that is based on combining the high-order WENO scheme with a static moving grid method is presented.
In this study, the skew-symmetric form and the secondary conservative convection schemes for ALE type moving grid simulations are proposed.
The moving grid method extends the applicable regime of the gas-kinetic scheme to the flows with free surface or moving boundaries, such as dam break problem and airfoil oscillations.
A self-adaptive moving grid method is implemented for MOL discretization by means of finite-difference and finite-volume schemes.
In this paper, we illustrate the application of time-stepping schemes to reaction diffusion systems on fixed and continuously growing domains by use of finite element and moving grid finite element methods.
Each methodology consists of a different mathematical framework for extending to moving grids a numerical scheme originally developed for computational fluid dynamics (CFD) on fixed grids, while preserving its formal order of time-accuracy established on fixed grids.
This algorithm uses a higher order numerical scheme the piecewise parabolic method (PPM for computing advective solution fields, a weight function capable of promoting grid node clustering by moving grid nodes, and a conservative interpolation equation using PPM for redistributing the solution field after movement of grid nodes.
We present a novel moving overset grid scheme for the accurate and efficient long-time simulation of an air bubble displacing a non-Newtonian fluid in the prototypical thin film device, the Hele Shaw cell.
The secondary conservative convection schemes for moving grids are then constructed for compressible and incompressible flows, respectively.
