Acceleration of the 2D Helmholtz model HARES
Gemma van de Sande
Supervisor: Martin van Gijzen

Site of the project:
Svasek Hydraulics
Schiehaven 13G
3024 EC Rotterdam

start of the project: September 2011

In December 2011 the Interim Thesis and a presentation has been given.

The Master project has been finished in May 2012 by the completion of the Masters Thesis and a final presentation has been given.

For working address etc. we refer to our alumnipage.

Summary of the master project:
Svasek Hydraulics is a civil technical engineering company in Rotterdam, specialized to give advice and consultancy in the domain of coastal and river developments and the design of harbors. Svasek has much expertise in computational fluid dynamics (CFD): most of given advice is based on simulations of flow of water (currents/waves) and transport of species and sediment in water.

Propagation of waves in the harbor of Zeebrugge, Flanders

Most numerical simulations done by Svasek are based on the Finite Element Method. A popular 'home-made' softwarepackage is HARES (HArbor RESonance), which is used to simulate the propagation of waves in coastal regions. In order to solve linear systems Ax = b in HARES, the popular Krylov subspace method Bi-CGSTAB is used combined with an ILU preconditioning.

Using this solution method it appears that the ILU preconditioning is not well suited for this type of methods. Recently, a special preconditioner is developed to solve Helmholtz problems, which is denoted by Shifted Laplace preconditioning. In many applications this combination leads to a fast and robust method. During the master thesis project an investigation shall be made to see if the Shifted Laplace preconditioning is also a good solver for the Helmholtz problems generated by HARES.


Example of an unstructured Finite Element grid for HARES and the resulting solution

Contact information: Kees Vuik

Back to the home page or the Master students page of Kees Vuik