Implicit Runge-Kutta Physical-Time Marching in Low Mach Preconditioned Density-Based Methods

2014 ◽  
Author(s):  
Leonardo S. Alves ◽  
Carlos Falcão ◽  
Francisco Medeiros
Keyword(s):  
Physical Time ◽  
Time Marching ◽  
Runge Kutta

Low Mach preconditioned density-based methods with implicit Runge–Kutta schemes in physical-time

2021 ◽  
Vol 43 (7) ◽  
Author(s):  
Leonardo Santos de Brito Alves ◽  
Ricardo Dias dos Santos ◽  
Carlos Eduardo Guex Falcão
Keyword(s):  
Physical Time ◽  
Runge Kutta

A comparative study of treatment of two-dimensional two-phase flows of steam by a Runge-Kutta and by Denton's methods

2007 ◽  
Vol 221 (6) ◽  
pp. 689-706 ◽  
Author(s):  
F Bakhtar ◽  
M Y Zamri ◽  
J M Rodriguez-Lelis
Keyword(s):  
Comparative Study ◽  
Excellent Agreement ◽  
Experimental Results ◽  
Experimental Measurements ◽  
Two Dimensional ◽  
Oscillating Flows ◽  
Two Phase ◽  
Time Marching ◽  
Runge Kutta ◽  
Refined Grid

This paper describes a comparative study of the treatment of two-dimensional nucleating flows of steam using two different time-marching numerical schemes. A treatment based on Denton's scheme but a refined grid has been available from earlier work. To compare with this a treatment based on the Runge-Kutta scheme has been developed, which is described. Solutions using this scheme and a simple mesh are compared with experimental results and with solutions using the earlier treatment. The agreement obtained between the two schemes and with the experimental results is satisfactory. Oscillating flows in a convergent-divergent nozzle are also examined and excellent agreement obtained with experimental measurements.

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