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This work is concerned with finite volume methods for flows at low mach numbers which are under buoyancy and heat sources. As a particular application, fires in car tunnels will be considered.
To extend the scheme for compressible flow into the low Mach number regime, a preconditioning technique is used and a stability result on this is proven. The source terms for gravity and heat are incorporated using operator splitting and the resulting method is analyzed.
@phdthesis{urn:nbn:de:hebis:34-2008032620913, author ={Birken, Philipp}, title ={Numerical Simulation of Flows at Low Mach Numbers with Heat Sources}, keywords ={510 and Tunnel and Brand and Numerische Strömungssimulation and Finite-Volumen-Methode and Präkonditionierung}, copyright ={https://rightsstatements.org/page/InC/1.0/}, language ={en}, school={Kassel, Universität, FB 17, Mathematik/Informatik}, year ={2006} }