![]() Non-biological applications include sails, parachutes, flows of suspensions, and two-fluid or multifluid problems. It was originally developed to study the fluid dynamics of heart valves, and it has since been applied to a wide variety of problems in biofluid dynamics, such as wave propagation in the inner ear, blood clotting, swimming of creatures large and small, and the flight of insects. The immersed boundary (IB) method is a general framework for the computer simulation of flows with immersed elastic boundaries and/or complicated geometry. Prerequisite: Familiarity with numerical methods and fluid dynamics. MATH-GA.2012-003 Advanced Topics In Numerical Analysis: Immersed Boundary Method For Fluid-Structure Interaction Prerequisites for the course are (serial) programming experience with C/C++ (I will use C in class) or FORTRAN, and some familiarity with numerical methods. You will learn some Unix in this course, if you don't know it already. There will be a larger final project at the end. This will be a hands-on class, with several parallel (and serial) computing assignments, in which you will explore material by yourself and try things out. Along the way you will be exposed to important tools for high performance computing such as debuggers, schedulers, visualization, and version control systems. Since a prerequisite for good parallel performance is good serial performance, this aspect will also be addressed. Issues such as load balancing, communication, and synchronization will be covered and illustrated in the context of parallel numerical algorithms. shared memory parallelism: MPI, OpenMP, OpenCL/CUDA). We will establish a basic understanding of modern computer architectures (CPUs and accelerators, memory hierarchies, interconnects) and of parallel approaches to programming these machines (distributed vs. ![]() This class will be an introduction to the fundamentals of parallel scientific computing. Work Opportunities in the Math DepartmentĬourant Classroom Calendar & Reservations ![]()
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