Basic Multigrid Solvers
What you'll learn
- Basics of multigrid solvers for large, sparse systems of linear equations.
Requirements
- Background in a scientific programming language and an understanding of basic numerical methods for solving linear systems.
Description
Multigrid techniques are used in most commercial computational fluid dynamics codes where large numbers of unknowns are common. The techniques are used to accelerate convergence of basic iterative methods using multiple grid levels. In this course we apply basic multigrid techniques to one- and two-dimensional elliptic problems discretized using a finite-difference method. The approach may be extended to the finite-volume and other methods, or may be applied to general sparse linear systems of the form Ax=b. The one- and two-dimensional codes are written in Fortran90 and source codes available for download. Prospective students should be familiar with basic numerical methods and be proficient in a scientific programming language.
Who this course is for:
- Users of commercial CFD solvers who would like some background on multigrid techniques used in the codes. Upper division undergraduates and beginning level graduate students in science and engineering.
Instructor
- 4.4 Instructor Rating
- 352 Reviews
- 1,776 Students
- 7 Courses
Holds a Ph.D. in Mechanical Engineering and Engineering Mechanics from Old Dominion University. Fellow of the American Society of Mechanical Engineers. Twenty-eight years teaching at the university level including courses in numerical methods, fluid dynamics, aerodynamics, and computational fluid dynamics (CFD). Six years as a Mechanical and Aerospace Engineering Department Head at Utah State University. Currently a professor emeritus at Utah State. Areas of research interest include vortex breakdown, aerodynamics of sailboat sails, buoyancy-driven flows, and environmental flows.