Guido Thömmes

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We consider the lattice Boltzmann method for immiscible multiphase flow simulations. Classical lattice Boltzmann methods for this problem, e.g. the colour gradient method or the free energy approach, can only be applied when density and viscosity ratios are small. Moreover, they use additional fields defined on the whole domain to describe the different(More)
Optimal control problems for radiative transfer and for approximate models are considered. Following the approach first discretize, then optimize, the discrete SPN approximations are for the first time derived exactly, which can be used to study optimal control on reduced order models. Combining asymptotic analysis and the adjoint calculus yields(More)
We develop new directionand frequency-averaged approximations to the equations of radiative heat transfer in glass for optically thick, diffusive regimes. These approximations, which are based on the SPN approach given in [E. Larsen, G. Thömmes, A. Klar, M. Seäıd, and T. Götz, J. Comput. Phys., 183 (2002), pp. 652–675], represent asymptotic corrections to(More)
We present a lattice Boltzmann method (LBM) for simulating immiscible multi-phase flows which is based on a coupling of LBM with the level set method. The computation of immiscible flows using the LBM with BGK collision operator is done separately in each of the fluid domains and coupled at the interface by an appropriate boundary condition. In this way we(More)
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