Research output per year
Research output per year
Project: Research project
Research Area
In many engineering applications wave propagation phenomena in coupled
domains have to be studied, e.g., a dam-reservoir system. Unbounded
domains, where the general method is a linear description of the
domain, are effectively treated by the Boundary Element Method,
whereas non-linear bounded domains are treated well by the Finite
Element Method. That is why often a coupled approach of both
methodologies is used.
In this project, a cheap alternative to the coupling of Finite and
Boundary Elements the so-called infinite elements will be
developed for wave propagation in poroelastic continua.
State of the Art
Wave propagation in poroelastic modeled continua has been first
considered in case of one-dimensional problems and later with the aid
of numerical methods also for two-dimensional and even for
three-dimensional problems (see, e.g., [4]). A recent overview on the
State of the Art in poroelastic wave propagation can be found in the
conference proceedings of the two Biot conferences, one held in 1998
in Lovain-la-Neuve [7] and the other held in 2002 in Grenoble [2].
Finite Element formulations exist to solve poroelastic wave
propagation problems numerically [8, 6]. So-called infinite elements
are used to approximately fulfill the Sommerfeld radiation condition.
A comprehensive review concerning the infinite elements is given by
Astley [1]. The large attraction of these element types lies in the
simple implementation in an existing program. However, this advantage
is opposed by the disadvantage that these elements must be formulated
differently for each different type of problem. Further, the
Sommerfeld radiation condition is never fulfilled exactly.
Project Topics
There are several approaches in the literature on infinite elements
[1, 3, 5]. With the shape functions of these infinite elements the
semi-infinite geometry is approximated as well as the Sommerfeld
radiation condition, i.e., the waves decay with distance and are not
reflected at infinity. Such infinite elements are already developed in
time-domain when one outgoing wave is present. The problematic point
for such elements is the application to wave propagation phenomena if
more then one wave type exist. In poroelasticity there are three waves
and it is not clear to which of them the shape function has to be
adjusted.
The key points of this project are
Bibliography
Status | Finished |
---|---|
Effective start/end date | 15/01/06 → 31/12/12 |
Research output: Contribution to conference › (Old data) Lecture or Presentation
Research output: Contribution to journal › Article
Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review