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H2020Individual fellowship2016–2018

FastFlowSim · Fast particle-based time integrator for incompressible flows simulations

Horizon 2020 — Marie Skłodowska-Curie Actions

Duration
2016-09-01 → 2018-08-31
EU contribution
€195,455
Participants
1
Scheme
MSCA-IF

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Results in brief

Fast particle-based time integrator for incompressible flows simulations

How can we take large time steps in Computational Fluid Dynamics (CFD) simulations without deteriorating the accuracy of the solution? This question drove my research in the FastFlowSim project. The motivation to take large time steps is to obtain faster CFD simulations which in turn expedite the product development process. To stay competitive in a rapidly evolving world, industries and research centres dedicate resources to the development of new and innovative concept-products. CFD simulations play an important role as an auxiliary tool in the transformation of concept-products into viable engineering solutions which can go into production. Such concept-products often have radical engineering designs and incur very high development costs. Hence, a non-performing product can quickly lead to bankruptcy. The only way to minimize the risk of unexpected performance is through greater insight. CFD simulations offer such insight at much higher detail and lower cost than physical experiments. The aim of the FastFlowSim project is to develop a fast and accurate particle-based time integration scheme for the simulation of incompressible flows. I proposed to achieve this aim by computing the wave-kernel matrix functions that constitute the fundamental solutions of second-order systems.

Data: CORDIS, © European Union

Project objective

The FastFlowSim project’s aim is to develop a fast and accurate particle-based time integrator for the simulation of incompressible flows. The developments will be done within the framework of the particle finite element method and using a semi-Lagrangian semi-implicit formulation of the flow equations. The principal strategy used to attain a faster method is to push further the stability limit of the time integrator which allows us to take larger time steps without deteriorating the accuracy.Following this line, we present a new concept: the fluid particle position and velocity are integrated within a time step using analytical solutions to an explicit second-order system of differential equations for the acceleration. Our hypothesis is that the trajectories computed in this manner approximate better the exact pathlines. It is expected to provide better stability and accuracy when using large time steps.The analytical solution of the particle trajectories involves computing certain small and fixed-size matrix functions. The development of numerically stable algorithms for the robust computation these matrix functions is a specific objective. Prof. Higham is an expert in this highly specialized area and my knowledge of matrix functions and error analysis will be significantly expanded and enriched during the implementation of this project. This project will serve as a mechanism for the host to demonstrate cross-disciplinary impact of the research on the theory of matrix functions.The end users are CFD engineers who assist product-design engineers working in but not limited to offshore technologies, sea defence structures and sea-worthiness analysis of watercrafts. It will provide them deeper insight into the performance of innovative product designs at a faster rate. Further, it will widen the scope and suitability of incompressible flow simulation tools to a larger set of cutting-edge technology products subjected to challenging physical conditions.

Original text from CORDIS.

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Data: CORDIS, © European Union