Assistant Professor of Mathematics
Computational Fluid Dynamics Thrust
Dr. Clarence Burg joined the Department of Mathematics at UCA in 2005. His research focuses on numerical methods, especially for approximating the solution to partial differential equations arising from compressible and incompressible fluid dynamics, using unstructured meshes. He teaches Math 4340 Numerical Methods, each spring, introducing students to the basic issues and algorithms involved with approximately solving differential equations on finite precision computers. He has taught a variety of graduate courses within the Master of Science in Applied Mathematics at UCA, including numerical solutions to partial differential equations in 1D and in 2D and a course focusing on programming the unique cell processor found in the Sony PlayStation 3.
As leader of the Computational Fluid Dynamics thrust, Dr. Burg wants to introduce UCA students to the challenges, issues and benefits associated with computational simulations for a variety of physical applications, including the calculation of the forces on aircraft wings and submerged vessels, the flow of water over spillways and past other man-made water structures, and the effects of ground terrain on local weather patterns. These investigations will use a variety of existing software, developed at research universities and government laboratories. Dr. Burg is also interested in more fundamental research into algorithm development and analysis of existing algorithms, as well as in developing computational sciences software aimed at science education.
Students who are interested in working with Dr. Burg in the Computational Fluid Dynamics thrust will have an aptitude for computers and mathematics and will learn about the Linux operating system, computer aided design, numerical grid generation, submission of jobs to the Callisto cluster, flow visualization software and error analysis. After all, the computer program will give you a number, but the question is always "How good is that number?"