Dynamic wind fields and the method of manufactured solutions for surface flow
Johannes Lawen
Hamburg University of Technology Germany
Co-Author(s):
Abstract:
Coastal ocean models do not readily provide for manufactured forces to validate with the method of manufactured solutions. Therefore, this new method exploits dynamic wind fields to obtain compact solitary solutions. The latter is provided for the incompressible Euler and Navier-Stokes PDE. The nonlinear response of momentum advection is moved into a term for dynamic wind forcing. Then, the linear continuity PDE is solved by means of arbitrarily selected closure functions. The validation of numerical schemes is demonstrated for the Euler and Navier-Stokes PDE. As the nonlinear response is isolated in only one spatial dimension, the method permits to validate arbitrary unstructured meshes and domain geometries.