@incollection{HuelsmannKlaassenKraemeretal.2017, author = {Marco H{\"u}lsmann and Bernhard Klaassen and Andreas Kr{\"a}mer and Ottmar Kr{\"a}mer-Fuhrmann and Tosawi Pangalela and Dirk Reith and Klaus Hack and Johannes Linden}, title = {Calculation of Chemical Equilibria in Multi-Phase: Multicomponent Systems}, series = {Griebel, Sch{\"u}ller et al. (Hg.): Scientific Computing and Algorithms in Industrial Simulations: Projects and Products of Fraunhofer SCAI}, publisher = {Springer}, address = {Cham}, isbn = {978-3-319-62457-0}, doi = {10.1007/978-3-319-62458-7\_1}, pages = {3 -- 24}, year = {2017}, abstract = {The paper describes methods for calculating chemical equilibria based on a constrained Gibbs free energy minimization. The methods allow the treatment of multicomponent systems with multiple phases, including gaseous phases, condensed phases, and stoichiometric phases. A special aspect is the detection and treatment of miscibility gaps. The underlying mathematical problem is described in detail together with the algorithmic approach for its solution. Results are presented for some test cases, including the computation of phase diagrams for ternary systems.}, language = {en} }