Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Volume 80, Issue 4, Pages 256-282Publisher
WILEY-BLACKWELL
DOI: 10.1002/fld.4078
Keywords
anisotropic mesh adaptivity; compositional modelling; compressive advection; discontinuous Galerkin; interface-capturing
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Funding
- EPSRC MEMPHIS Multiphase Programme grant
- EPSRC Computational Modelling for Advanced Nuclear Power Plants project
- EU
- EPSRC [EP/I003010/1, EP/P013198/1, EP/N010221/1, EP/K003976/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/N010221/1, EP/K003976/1, EP/P013198/1] Funding Source: researchfish
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This paper develops methods for interface-capturing in multiphase flows. The main novelties of these methods are as follows: (a) multi-component modelling that embeds interface structures into the continuity equation; (b) a new family of triangle/tetrahedron finite elements, in particular, the P(1)DG-P-2(linear discontinuous between elements velocity and quadratic continuous pressure); (c) an interface-capturing scheme based on compressive control volume advection methods and high-order finite element interpolation methods; (d) a time stepping method that allows use of relatively large time step sizes; and (e) application of anisotropic mesh adaptivity to focus the numerical resolution around the interfaces and other areas of important dynamics. This modelling approach is applied to a series of pure advection problems with interfaces as well as to the simulation of the standard computational fluid dynamics benchmark test cases of a collapsing water column under gravitational forces (in two and three dimensions) and sloshing water in a tank. Two more test cases are undertaken in order to demonstrate the many-material and compressibility modelling capabilities of the approach. Numerical simulations are performed on coarse unstructured meshes to demonstrate the potential of the methods described here to capture complex dynamics in multiphase flows. Copyright (c) 2015 John Wiley & Sons, Ltd.
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