# SOLVCON¶

SOLVCON is a collection of conservation-law solvers that use the space-time Conservation Element and Solution Element (CESE) method [Chang95]. The equations to be solved are formulated as:

$\frac{\partial\mathbf{u}}{\partial t} + \sum_{k=1}^3 \mathrm{A}^{(k)}(\mathbf{u}) \frac{\partial\mathbf{u}}{\partial x_k} = 0$

where $$\mathbf{u}$$ is the unknown vector, $$\mathrm{A}^{(1)}$$, $$\mathrm{A}^{(2)}$$, and $$\mathrm{A}^{(3)}$$ the Jacobian matrices, and $$\mathbf{s}$$ the source term.

## Install¶

Clone from https://bitbucket.org/solvcon/solvcon:

$hg clone https://bitbucket.org/solvcon/solvcon  SOLVCON needs the following packages: gcc 4.3+ (clang on OSX works as well), SCons 2+, Python 2.7, Cython 0.16+, Numpy 1.5+, LAPACK, NetCDF 4+, SCOTCH 6.0+, Nose 1.0+, Paramiko 1.14+, boto 2.29.1+, gmsh 2.5+, and VTK 5.6+. In the contrib/ directory, you can find the scripts for installing these dependencies: The binary part of SOLVCON should be built with SCons: $ scons scmods


Then add the installation path to the environment variables $PATH and$PYTHONPATH.

• Building document requires Sphinx 1.1.2+, pstake 0.3.3+, Sphinxcontrib issue tracker 0.11, and graphviz 2.28+. Once the binary of SOLVCON is built, the following commands can build the document:

$cd doc$ make html


The built document will be available at doc/build/html/.

• Unit tests should be run with Nose:

$nosetests  • Another set of tests are collected in ftests/ directory, and can be run with: $ nosetests ftests/*


Some tests in ftests/ involve remote procedure call (RPC) that uses ssh. You need to set up the public key authentication to properly run them.

## Documents¶

The documents have two parts: infrastructure and application. The infrastructure documents include the two keystones of SOLVCON: (i) Unstructured Meshes for spatial discretization and (ii) Nested Looping structure for numerical methods. The application documents currently contain only Gas Dynamics Parcel (Under Development).

## References¶

• Bibliography
• History
• Papers and presentations:
• Published Applications of SOLVCON
• Yung-Yu Chen, A Multi-Physics Software Framework on Hybrid Parallel Computing for High-Fidelity Solutions of Conservation Laws, Ph.D. Thesis, The Ohio State University, United States, Aug. 2011. (OhioLINK)
• PyCon US 2011 talk: slides and video
• Yung-Yu Chen, David Bilyeu, Lixiang Yang, and Sheng-Tao John Yu, “SOLVCON: A Python-Based CFD Software Framework for Hybrid Parallelization”, 49th AIAA Aerospace Sciences Meeting, January 4-7 2011, Orlando, Florida. AIAA Paper 2011-1065
• The CESE method:
• The CE/SE working group: http://www.grc.nasa.gov/WWW/microbus/
• The CESE research group at OSU: http://cfd.solvcon.net/research.html
• Selected papers:
• Sin-Chung Chang, “The Method of Space-Time Conservation Element and Solution Element – A New Approach for Solving the Navier-Stokes and Euler Equations”, Journal of Computational Physics, Volume 119, Issue 2, July 1995, Pages 295-324. doi: 10.1006/jcph.1995.1137
• Xiao-Yen Wang, Sin-Chung Chang, “A 2D Non-Splitting Unstructured Triangular Mesh Euler Solver Based on the Space-Time Conservation Element and Solution Element Method”, Computational Fluid Dynamics Journal, Volume 8, Issue 2, 1999, Pages 309-325.
• Zeng-Chan Zhang, S. T. John Yu, Sin-Chung Chang, “A Space-Time Conservation Element and Solution Element Method for Solving the Two- and Three-Dimensional Unsteady Euler Equations Using Quadrilateral and Hexahedral Meshes”, Journal of Computational Physics, Volume 175, Issue 1, Jan. 2002, Pages 168-199. doi: 10.1006/jcph.2001.6934
• Other Software for Solving PDEs

Copyright (c) 2008, Yung-Yu Chen <yyc@solvcon.net>

Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

• Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
• Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.
• Neither the name of the SOLVCON nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.

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