Mathematical Modelling and Numerical Simulation
Introduction
Mathematical modelling and numerical simulation are fundamental ingredients
in the theoretical and technical evaluation of engineering problems. Without
these disciplines the engineer would have to use chiefly intuitive and
empirical methods. Modern technical development would not be possible without
knowledge of mathematical modelling.
Complicated technical problems in statics as well as dynamics are essential
fields of activity for ES-Consult. Therefore the command of the disciplines
mathematical modelling and numerical simulation is of great importance
for the firm.
Our experience in mathematical modelling however also enables the firm
to undertake assignments that have not yet been analysed theoretically
and where a mathematical formulation is necessary to solve the problems.
Today the disciplines mathematical modelling and numerical simulation
are unthinkable without an in-depth knowledge of computer aids. Therefore
ES-Consult has a wide range of equipment of modern computer software.
The application of mathematical modelling and numerical simulation by
the company is best illustrated by a couple of examples.
Example no. 1 - Wave Energy
For the company Danish Wave Power, ES-Consult has developed calculation models
for the optimization and design of a wave energy power-plant situated outside
the Hanstholm harbour at 30 m depth of water. The calculation models formed
the basis for the design of the foundation as well as of the structures
themselves. At the same time the models were used for the calculation of
the production of energy from the plant.
In a continuation of the project the firm has participated in a research
project (OWEC-1) under EU's Joule program. Here ES-Consult has contributed
with computational tools for the estimation of the production of energy
and for the analyses of the structures for 4 different wave energy producing
plants.
Example no. 2 - Ship Impact
ES-Consult has developed a software collection to model collisions between
ships and off-shore structures. Using a combination of finite elements
techniques, optimization algorithms and numerical integration techniques
an advanced numerical analysis of the event is performed. The information
given includes forces, deformations and accelerations in the structure
and its elements.
Example no. 3 - Safety Barrier
In coorperation with the safety barrier producer Blue
Systems ES-Consult has developed a program, which after a calibration
with impact test results can be used to predict the behaviour of the safety
barrier. In this way the number of expensive impact tests can be minimized.
Related Topics
ES-Consult's information-sheets offer a comprehensive overview of the fields
covered by the firm. For almost all the fields, experience in mathematical
modelling and numerical simulation is of fundamental importance.
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