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ABSTRACT:
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In the last decade,
high-order multidomain methods have established
themselves as effective methods for long time integration of complex
high-frequency wave-dominated continuum problems. They have for example shown
to be superior for simulation of electromagnetic scattering on aircraft and
simulation of turbulent flows in complex geometries. High-order methods
secure their geometric flexibility by using fully unstructured grids, they can have arbitrary order of accuracy, and have
excellent stability properties.
I will present the
development of high-order multidomain methods for
the simulation of problems in the continuum-discrete framework. In this
framework the governing continuum equations are solved on a static grid,
while individual particles are tracked using a Lagrangian
formulation. The focus is to carry over the favorable aspects of the
continuum high-order method to the continuum-discrete framework, i.e. to
develop efficient, high-order space and time methods for moving particles,
complex particle-boundary interactions, and for coupled discrete phase and
continuum phases.
I will illustrate the
benefits of the method through simulations of astrophysical and industrial
plasma dynamics, where the electromagnetic continuum is described by the Maxwell�s equations and the discrete framework
consists of electrons and ions. I will also present simulations of
particle-laden flows with relevance to combustors, where the Navier-Stokes equations govern the fluid continuum, and
liquid fuel droplets govern the discrete framework..
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