Numerical Analysis: Numerical Simulations of Flow Problems

<p>The course is an alternatively compulsory course within the Master's programme in mathematics with specialisation in numerical analysis. The course gives an introduction to modern numerical methods for non-linear conservation laws, with focus on fluid mechanics and shows how numerical simulations are applied and what difficulties may arise in the design of aircraft and wind turbines as well as in climate system research.</p><p>The course covers:</p> <ul> <li>Models of computational fluid dynamics</li> <li>Hyperbolic conservation laws and their basic properties (weak solutions, weak entropy solutions, shocks)</li> <li>Discontinuous Galerkin discretizations</li> <li>Simulations of gas dynamics Krylov subspace methods with preconditioning</li> <li>Jacobian-free Newton-Krylov methods</li> <li>Multigrid methods for flow problems</li> </ul><p>https://www.maths.lu.se/utbildning/</p>