An improved algorithm for in situ adaptive tabulation

Effects of fuel cetane number on the structure of diesel spray combustion: An accelerated Eulerian stochastic fields method

“…Chemical mechanism reduction and chemistry tabulation/storage/retrieval approach [15] are common examples of such techniques. In situ adaptive tabulation (ISAT) [16] is an example of tabulation/storage/retrieval approach. While ISAT can significantly reduce the computational costs in statistically stationary flows, it is less efficient in non-stationary flows.…”

Law of Mass Action Based Kinetic Approach for the Modelling of Parallel Mass Transfer Limited Reactions: Application to Metallurgical Systems

“…(26), (27) and (28) correspond to the traditional equilibrium constant method. The resulting relative error in the equilibrium constant can be calculated by comparing the restricted equilibrium coefficient K k * to the true equilibrium coefficient, K k :…”

“…To avoid the need to use infinite k values we defined a slightly falsified equilibrium, namely Eq. (27), having the residual affinity (Gibbs free energy) of finite value on the negative side, if the reaction proceeds from left to right. We now solve the "falsified" Cr 2 O 3 activity from Eq.…”

“…We now solve the "falsified" Cr 2 O 3 activity from Eq. (27) and substitute it to the rate of law of mass for Cr oxidation, resulting in Eq. (34) that then defines the rate of oxidation.…”

“…To overcome the challenges in heavy computational CFD problems, Lu and Pope 27) and Ren and Goldin 28) developed the in situ adaptive tabulation (ISAT) method to speed up extremely time consuming computational calculations of reactive flows. As an example, they studied the possibility to speed up the solution of the chemical equilibrium in connection to the CFD simulation.…”