Projects / Programmes
Numerical simulation of turbulent fluid flow with velocity vorticity based large eddy simulation by the boundary element method
| Code |
Science |
Field |
Subfield |
| 2.05.03 |
Engineering sciences and technologies |
Mechanics |
Numerical modelling |
| Code |
Science |
Field |
| P240 |
Natural sciences and mathematics |
Gases, fluid dynamics, plasmas |
turbulent flow, large eddy simulation, boundary element method
Researchers (1)
| no. |
Code |
Name and surname |
Research area |
Role |
Period |
No. of publicationsNo. of publications |
| 1. |
24331 |
PhD Jure Ravnik |
Process engineering |
Head |
2007 - 2008 |
494 |
Organisations (1)
Abstract
In the postdoctoral research project we will develop a new numerical scheme for simulation of turbulent flow of an incompressible viscous fluid. We will use the velocity vorticity based large eddy simulation and for obtaining the solution of the resulting nonlinear system of partial differential equations use boundary element method. We expect that the new method will be capable of simulating turbulent flow with second order accuracy. The demand of the algorithm towards computational resources will be high, which is to be expected due to the fact that we are doing a time depended turbulent flow simulation, but we will decrease the required computational resources by using advanced compression and acceleration schemes to such an extend that simulations will be ran on a cluster of single processor machines.
The main challenges of the postdoctoral research project will be the correct choice of the subgrid scale model for velocity vorticity based large eddy simulation and the derivation of the dynamic calculation of the model constant. In addition we will write a computational efficient algorithm designed for parallel computation. To accelerate the numerical scheme and decrease the memory demands we will use advance techniques such as wavelet transforms and adaptive cross approximation of matrices. The goal of the research project is to develop a numerical scheme which will be able to simulate turbulent fluid flow in complex geometries using large eddy simulation efficiently and with a high degree of accuracy.
The usefulness of the results of the postdoctoral project are the following. It will be possible to include the developed numerical scheme into engineering software, which is daily used by engineers to simulate turbulent flow. At the same time the solutions used to make the algorithm efficient will be general enough, so it will be possible to use them for different mathematical and physical problems. With the correct choice of the subgrid scale model, we believe we will be able to prove, that the velocity vorticity based large eddy simulation is better than the classical velocity pressure based LES.
Significance for science
Scientific relevance of the proposed postdoctoral project may be found above all in the development of a new numerical scheme for simulation of fluid flow. The new scheme gives results with superior accuracy. Since the solution is obtained by solving a nonlinear system of partial differential equations, the numerical scheme will be with some modifications useful for simulating other physical processes and phenomena, which are described by the same of similar equations.
The postdoctoral project includes research into different strategies of matrix compression and the influence of this to the final solution of the nonlinear system of equations. Comparison of applicability of different approximation method, which was conducted as a part of the postdoctoral project, provided new findings on the influence of these methods on non-linear system. Till today, other authors mainly focused on the usage of the method for approximation of linear problems. We believe that this results will be useful all scientific areas, where large quantities of data need to be handled.
Significance for the country
The results of the postdoctoral project will in the long run have a positive effect on the socio-economic development. When the new numerical scheme, which we developed during the postdoctoral project, is included into engineering tools, we believe we will witness an improvement in fluid flow simulations and an improvement in development process of new devices and machines. At the same time, flow simulations can be used for research into the physics of the flow, which contributes to a better understanding of nature and as such to development of culture.
Simulations of fluid flow are the basis for accurate prediction of environmental impact of pollution sources and are as such the basis of execution of measures, which reduce those impacts and thus preserve the nature.
The author of the postdoctoral project has been, based on the publication of the postdoctoral project results, invited into the editorial board of an international scientific journal: Engineering Analysis with Boundary Elements, which is published by Elsevier and is one of the best journals in the filed of boundary element method research. Membership in the board will improve scientific reputation of Slovenia.
Most important scientific results
Final report,
complete report on dLib.si
Most important socioeconomically and culturally relevant results
Final report,
complete report on dLib.si
