Adaptive grid generation from harmonic maps on Reimannian manifolds
Journal of Computational Physics
An adaptive grid with directional control
Journal of Computational Physics
Moving mesh methods with upwinding schemes for time-dependent PDEs
Journal of Computational Physics
An r-adaptive finite element method based upon moving mesh PDEs
Journal of Computational Physics
An iterative grid redistribution method for singular problems in multiple dimensions
Journal of Computational Physics
A gas-kinetic scheme for multimaterial flows and its application in chemical reactions
Journal of Computational Physics
An efficient dynamically adaptive mesh for potentially singular solutions
Journal of Computational Physics
Journal of Computational Physics
Moving mesh methods in multiple dimensions based on harmonic maps
Journal of Computational Physics
A Moving Mesh Method for One-dimensional Hyperbolic Conservation Laws
SIAM Journal on Scientific Computing
Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
SIAM Journal on Numerical Analysis
A moving unstructured staggered mesh method for the simulation of incompressible free-surface flows
Journal of Computational Physics
Journal of Computational Physics
Lattice Boltzmann method and gas-kinetic BGK scheme in the low-Mach number viscous flow simulations
Journal of Computational Physics
A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow
Journal of Computational Physics
A unified moving grid gas-kinetic method in Eulerian space for viscous flow computation
Journal of Computational Physics
Remapping-free ALE-type kinetic method for flow computations
Journal of Computational Physics
Hi-index | 31.46 |
This paper extends the gas-kinetic BGK-NS scheme to an adaptive grid for the viscous flow simulations. The grid movement and adaptation is controlled by a monitor function which may depend on velocity gradient or other flow variables, such as density or pressure. For the viscous flow computation, the use of adaptive mesh much improves the efficiency and accuracy of the method in comparison with the methods with static mesh points. The current method is an accurate and efficient method for the viscous flow computation, where the grid points can be easily moved and concentrated on the regions with large velocity and density gradients, such as the boundary layer and multi-material interface. Many numerical examples validate the current approach for the viscous flow simulations.