James Liu: Code/SoftwareModules

Code / Software Modules

Chara: A General-purpose Software Package for Characteristic Tracking on Unstructured Meshes

ELLAM: Eulerian-Lagrangian Localized Adjoint Methods

The white paper on ELLAM implementation in C++.

ELLAM applied to solve the convection-diffusion equation arising from the resistive magnetohydrodynamics (MHD) model. Shown below are the results for 3 test problems discussed in our paper: J.Liu, S.Tavener, and H.Chen, ELLAM for resolving the kinematics of two-dimensional resistive magnetohydrodynamic flows, J. Comput. Phys., 227(2007), pp.1372--1386. PDFfile

A review paper by T.Russell and M.Celia on ELLAM (up to Year 2002) can be found here.

This link is also very useful for us to know more about ELLAM.

LinLite: Linear Solvers Lite

This is a compact/lite suite of C++ code for vectors, matrices, and linear solvers.
LinSys.h matrix.h vector.h
LinSys.cpp matrix.cpp vector.cpp
For solving large scale linear systems, we recommend PETSc and Trilinos.

Maxwell3dSolvers

This is an ongoing collaborative research project. Nonconforming finite elements, including the locally divergence-free (LDF) elements, are used to solve Maxwell source and eigenvalue problems on 3-dim unstructured tetrahedral meshes. Preliminary results are very encouraging: no spurious eigenvaules for eigenproblems and optimal convergence rates for source problems. About 3000 lines of C++ code have been developed and tested, and more are coming.

UTMC: Uniform Tetrahedral Meshes for Cubes (3-dim Rectangles)

I apologize if this causes confusion with the University of Texas Medical Center. $happyface$ Nothing is really mysterious in our code. But in some circumstances, we just want an instant production of tetrahedral meshes, usually uniform meshes are OK, without mentioning they can also be used for exploring superconvergence of finite element methods. C++, Fortran, Matlab codes are furnished. TetView can be used to visualize your tetrahedral meshes. For generation of unstructured tetrahedral meshes, we recommend Gmsh and Tetgen.

   utmc.cpp
   utmc.f90
   utmc.m

$UniTetraMesh4$