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Rainer Backofen
Crystal Growth group, research center caesar, Bonn, Germany

Angel Ribalta
Crystal Growth group, research center caesar, Bonn, Germany

Axel Voigt
Crystal Growth group, research center caesar, Bonn, Germany


Simplified PN (SPN) approximations to the equation of radiative heat transfer are derived for optically thick materials. The SPN approximations are obtained by an asymptotic analysis, while the boundary conditions are derived from variational arguments. They offer the possibility to higher order approximations to the radiative transfer model within a system of partial differential equations. The variational structure of these equations is used for a finite element discretization. Furthermore a postereriori error indicators are used for an adaptive finite element method for the SPN approximations. The method is validated one- and two-dimensional situations and applied to study the influence of internal radiation on the solid-liquid interface in semitransparent materials in a three-dimensional setting.

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Bow shocks on a jet-like solid body shape. Thermal Sciences 2004, 2004. Pulsed, supersonic fuel jets - their characteristics and potential for improved diesel engine injection. PULSED, SUPERSONIC FUEL JETS - THEIR CHARACTERISTICS AND POTENTIAL FOR IMPROVED DIESEL ENGINE INJECTION
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Pratt & Whitney's F-135 Joint Strike Fighter Engine under test in Florida is a 3600F class jet engine. TURBINE-09, 2009. Turbine airfoil leading edge stagnation aerodynamics and heat transfe... TURBINE AIRFOIL LEADING EDGE STAGNATION AERODYNAMICS AND HEAT TRANSFER - A REVIEW
Refractive index reconstructed field. (a) Second iteration. (b) Fourth iteration. Radiative Transfer - VI, 2010. Theoretical development for refractive index reconstruction from a radiative ... THEORETICAL DEVELOPMENT FOR REFRACTIVE INDEX RECONSTRUCTION FROM A RADIATIVE TRANSFER EQUATION-BASED ALGORITHM
Two inclusion test, four collimated sources. Radiative Transfer - VI, 2010. New developments in frequency domain optical tomography. Part II. Application with a L-BFGS associated to an inexa... NEW DEVELOPMENTS IN FREQUENCY DOMAIN OPTICAL TOMOGRAPHY. PART II. APPLICATION WITH A L-BFGS ASSOCIATED TO AN INEXACT LINE SEARCH