Name
Abstract | ||
|---|---|---|
The hydrodynamic force exerted by a fluid on small isolated rigid spherical particles are usually well described by the Maxey-Riley (MR) equation. The most time-consuming contribution in the MR equation is the Basset history force which is a well-known problem for many-particle simulations in turbulence. In this paper a novel numerical approach is proposed for the computation of the Basset history force based on the use of exponential functions to approximate the tail of the Basset force kernel. Typically, this approach not only decreases the cpu time and memory requirements for the Basset force computation by more than an order of magnitude, but also increases the accuracy by an order of magnitude. The method has a temporal accuracy of O(@Dt^2) which is a substantial improvement compared to methods available in the literature. Furthermore, the method is partially implicit in order to increase stability of the computation. Traditional methods for the calculation of the Basset history force can influence statistical properties of the particles in isotropic turbulence, which is due to the error made by approximating the Basset force and the limited number of particles that can be tracked with classical methods. The new method turns out to provide more reliable statistical data. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.jcp.2010.11.014 | J. Comput. Physics |
Keywords | Field | DocType |
maxey–riley equation,traditional method,order method,classical method,basset force kernel,basset force,particle laden flow,hydrodynamic force,basset history force,maxey- riley equation,mr equation,isotropic turbulence,numerical approximation,new method,basset force computation,second order,exponential function | Kernel (linear algebra),Isotropy,Mathematical optimization,Central processing unit,Exponential function,Mathematical analysis,Turbulence,Basset force,Order of magnitude,Mathematics,Computation | Journal |
Volume | Issue | ISSN |
230 | 4 | Journal of Computational Physics |
Citations | PageRank | References |
1 | 0.67 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. A. T. van Hinsberg | 1 | 1 | 1.01 |
| J. H. Thije Boonkkamp | 2 | 23 | 7.77 |
| H. J. H. Clercx | 3 | 15 | 3.05 |