TY - JOUR A1 - Pieper, Martin A1 - Klein, Peter T1 - Numerical solution of the heat equation with non-linear, time derivative-dependent source term JF - International Journal for Numerical Methods in Engineering N2 - The mathematical modeling of heat conduction with adsorption effects in coated metal structures yields the heat equation with piecewise smooth coefficients and a new kind of source term. This term is special, because it is non-linear and furthermore depends on a time derivative. In our approach we reformulated this as a new problem for the usual heat equation, without source term but with a new non-linear coefficient. We gave an existence and uniqueness proof for the weak solution of the reformulated problem. To obtain a numerical solution, we developed a semi-implicit and a fully implicit finite volume method. We compared these two methods theoretically as well as numerically. Finally, as practical application, we simulated the heat conduction in coated aluminum fibers with adsorption in the zeolite coating. Copyright © 2010 John Wiley & Sons, Ltd. Y1 - 2010 U6 - https://doi.org/10.1002/nme.2937 SN - 0029-5981 VL - 84 IS - 10 SP - 1205 EP - 1221 PB - Wiley CY - Chichester ER - TY - CHAP A1 - Kapoor, Hrshi A1 - Boller, Christian A1 - Giljohann, Sebastian A1 - Braun, Carsten T1 - Strategies for structural health monitoring implementation potential assessment in aircraft operational life extension considerations T2 - 2nd International Symposium on NDT in Aerospace : November 22-24, 2010 Hamburg, Germany Y1 - 2010 SN - 978-3-940283-28-3 PB - Dt. Gesellschaft für Zerstörungsfreie Prüfung CY - Berlin ER - TY - CHAP A1 - Kapoor, Hrshi A1 - Braun, Carsten A1 - Boller, Christian ED - Casciati, Fabio T1 - Modelling and optimisation of maintenance intervals to realize structural health monitoring applications on aircraft T2 - Structural health monitoring 2010 : proceedings of the Fifth European Workshop on Structural Health Monitoring held at Sorrento, Naples, Italy, June 28 - July 4, 2010 ; [EWSHM] Y1 - 2010 SN - 978-1-60595-024-2 SP - 55 EP - 63 PB - DEStech Publ. CY - Lancaster, Pa. ER - TY - CHAP A1 - Reimer, Lars A1 - Braun, Carsten A1 - Wellmer, Georg A1 - Behr, Marek A1 - Ballmann, Josef T1 - Development of a modular method for computational aero-structural analysis of aircraft T2 - Summary of flow modulation and fluid-structure interaction findings. Results of the Collaborative Research Center SFB 401 at the RWTH Aachen University, Aachen, Germany, 1997-2008 / ed.: Wolfgang Schröder. Notes on numerical fluid mechanics and multidisciplinary design. Vol. 109 Y1 - 2010 SN - 978-3-642-04087-0 SP - 205 EP - 238 PB - Springer CY - Berlin ER - TY - CHAP A1 - Gall, J. A1 - Abel, Dirk A1 - Ahlbrink, N. A1 - Pitz-Paal, R. A1 - Andersson, J. A1 - Diehl, M. A1 - Teixeira Boura, Cristiano José A1 - Schmitz, M. A1 - Hoffschmidt, Bernhard T1 - Simulation and control of solar thermal power plants T2 - International Conference on Renewable Energies and Power Quality : ICREPQ '10 : Granada 23rd - 25th March 2010 Y1 - 2010 SP - 1 EP - 5 ER - TY - JOUR A1 - Berretz, F. A1 - Skorupa, S. A1 - Sander, Volker A1 - Belloum, A. T1 - Towards an actor-driven workflow management system for grids JF - International Symposium on Collaborative Technologies and Systems (CTS), 2010 : 17 - 21 May 2010, Chicago, Illinois, USA / IEEE Y1 - 2010 SN - 978-1-4244-6619-1 SP - 611 EP - 616 PB - IEEE CY - Piscataway, NJ ER - TY - JOUR A1 - Kern, Alexander A1 - Schelthoff, Christof A1 - Mathieu, Moritz T1 - Probability of lightning strikes to air-terminations of structures using the electro-geometrical model theory and the statistics of lightning current parameters Y1 - 2010 N1 - 30th International Conference on Lightning Protection, Cagliari (Italien), 2010 SP - 750-1 EP - 750-8 ER - TY - JOUR A1 - Bouquegneau, Christian A1 - Kern, Alexander A1 - Rousseau, Alain T1 - Lightning safety guidelines Y1 - 2010 N1 - Ground´2010 International Conference on Grounding and Earthing ; 4th International Conference ond Lightning Physics and Effects, Nov. 2010 Salvador - Brazil SP - 1 EP - 6 ER - TY - JOUR A1 - Kern, Alexander A1 - Frentzel, Ralf A1 - Behrens, Jörg T1 - Simulation of the transient voltages in the auxiliary power network of a large power plant in case of a direct lightning strike to the high-voltage overhead transmission line Y1 - 2010 N1 - 30th International Conference on Lightning Protection, Cagliari (Italien), 2010 SP - 749-1 EP - 749-7 ER - TY - JOUR A1 - Kern, Alexander A1 - Klöters, Georg A1 - Pferdemenges, Jörg T1 - Optimised protection against lightning for the signalling and safety systems of level crossings on non-electrified railway lines JF - RTR : European Rail Technology Review Y1 - 2010 SN - 0079-9548 VL - 50 IS - 2 ER -