Name
Title | ||
|---|---|---|
A flux-corrected transport algorithm for handling the close-packing limit in dense suspensions |
Abstract | ||
|---|---|---|
Convection of a scalar quantity by a compressible velocity field may give rise to unbounded solutions or nonphysical overshoots at the continuous and discrete level. In this paper, we are concerned with solving continuity equations that govern the evolution of volume fractions in Eulerian models of disperse two-phase flows. An implicit Galerkin finite element approximation is equipped with a flux limiter for the convective terms. The fully multidimensional limiting strategy is based on a flux-corrected transport (FCT) algorithm. This nonlinear high-resolution scheme satisfies a discrete maximum principle for divergence-free velocities and ensures positivity preservation for arbitrary velocity fields. To enforce an upper bound that corresponds to the maximum-packing limit, an FCT-like overshoot limiter is applied to the converged convective fluxes at the end of each time step. This postprocessing step imposes an additional physical constraint on the numerical solution to the unconstrained mathematical model. Numerical results for 2D implosion problems illustrate the performance of the proposed limiting procedure. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.cam.2011.10.019 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
convective flux,dense suspension,discrete maximum principle,flux limiter,close-packing limit,arbitrary velocity field,numerical result,convective term,divergence-free velocity,fct-like overshoot limiter,discrete level,compressible velocity field,flux-corrected transport algorithm,convection,compressibility,finite elements | Mathematical optimization,Nonlinear system,Maximum principle,Mathematical analysis,Upper and lower bounds,Galerkin method,Scalar (physics),Algorithm,Finite element method,Flux limiter,Flux-corrected transport,Mathematics | Journal |
Volume | Issue | ISSN |
236 | 18 | 0377-0427 |
Citations | PageRank | References |
3 | 0.75 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dmitri Kuzmin | 1 | 167 | 23.90 |
| Yuliya Gorb | 2 | 7 | 4.02 |