Solving Fluid Dynamics Problems with Matlab（Matlab求解流体动力学问题）.pdfVIP

12 Solving Fluid Dynamics Problems with Matlab Rui M. S. Pereira1 and Jitesh S. B. Gajjar2 1 Centre of Mathematics, University of Minho 2 School of Mathematics, University of Manchester 1Portugal 2 United Kingdom 1. Introduction MATLAB (short for Matrix Laboratory) was created by Cleve Moler and Jack Little in the seventies. It is a programming language for technical computing. Its environment is easy to work with, the syntax is very simple and intuitive, it has powerful toolboxes to treat many different problems in engineering, and it allows us to produce fantastic graphics as the programme runs. It also allows us to create a graphical interface (via graphical user interfaces - GUIs) that gives our programme a look that is very close to professional software. Because of many of the mentioned features, a MATLAB code can be very compact, allowing anyone to have the big picture of any code without have to look at all its details. Another great advantage of Matlab is that, if the code is written in a vectorized form, the code can run much faster than if it was written in the traditional form (’a la C/fortran’). The fact that MATLAB allows us to use a powerful toolbox for sparse matrices, is also a great advantage since, many traditional linear algebra operations can be highly improved, allowing the codes to run much faster than it would run with the traditional linear algebra functions. In our work we have made extensive use of MATLAB to do ’proof of c