Multidimensional Finite-Element Particle Tracking Method for Solving Complex Transient Flow Problems
Publication: Journal of Hydrologic Engineering
Volume 14, Issue 7
Abstract
This paper proposes a particle tracking technique for applying the Eulerian–Lagrangian localized adjoint method or the Eulerian–Lagrangian method to solve transport equations in a rapidly changing unsteady flow. The proposed particle tracking technique uses a linear temporal interpolation of velocity to avoid the error introduced when using a stepwise temporal approximation of the velocity, which has been adopted in many existing particle tracking techniques. Numerical experiments were carried out on several example problems to demonstrate the superior accuracy and efficiency of the proposed particle tracking technique over Cheng’s and Pollock’s methods. The numerical results show that the use of a linear temporal interpolation of velocity can allow an increase in time step size without causing a significant decrease in accuracy, particularly under a complicated transient flow or a rapidly changing velocity field with time.
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Acknowledgments
This work was supported by the Korea Foundation for International Cooperation of Science & Technology (KICOS) through a grant provided by the Korean Ministry of Education, Science & Technology (MEST) in 2008 (Grant No. UNSPECIFIEDK20815000002). The writers would like to thank anonymous reviewers for their thoughtful reviews. Their comments and suggestions led to significant improvement in the manuscript.
References
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© 2009 ASCE.
History
Received: Aug 17, 2007
Accepted: Nov 3, 2008
Published online: Feb 16, 2009
Published in print: Jul 2009
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