Generalized multiresolution analysis on unstructured grids

AIAA 2001–2623 Multi-Dimensional Upwind Constrained Transport on Unstructured Grids for ‘Shallow Water’ Magnetohydrodynamics

Novel Multi-dimensional Upwind Constrained Transport (MUCT) schemes on un-structured triangular grids are described. Constrained Transport (CT) discretizations conserve the divergence-free nature of divergence-free vector fields on the discrete level. Multi-dimensional Upwind (MU) schemes generalize the concept of dimensionally split upwind schemes for hyperbolic systems to truly multidimension...

Transonic Turbulent Flow Computations on Unstructured Triangular Grids

A New Implicit Dissipation Term for Solving 3D Euler Equations on Unstructured Grids by GMRES+LU-SGS Scheme

Due to improvements in computational resources, interest has recently increased in using implicit scheme for solving flow equations on 3D unstructured grids. However, most of the implicit schemes produce greater numerical diffusion error than their corresponding explicit schemes. This stems from the fact that in linearizing implicit fluxes, it is conventional to replace the Jacobian matrix in t...

A New Implicit Dissipation Term for Solving 3D Euler Equations on Unstructured Grids by GMRES+LU-SGS Scheme

Due to improvements in computational resources, interest has recently increased in using implicit scheme for solving flow equations on 3D unstructured grids. However, most of the implicit schemes produce greater numerical diffusion error than their corresponding explicit schemes. This stems from the fact that in linearizing implicit fluxes, it is conventional to replace the Jacobian matrix in t...

An adaptive framework for visualizing unstructured grids with time-varying scalar fields

Interactive visualization of time-varying volume data is essential for many scientific simulations. This is a challenging problem since this data is often large, can be organized in different formats (regular or irregular grids), with variable instances of time (from hundreds to thousands) and variable domain fields. It is common to consider subsets of this problem, such as time-varying scalar ...