Stefan Number-Insensitive Numerical Simulation of the Enthalpy Method for Stefan Problems Using the Space-Time CE/SE Method

2009 ◽  
Vol 55 (4) ◽  
pp. 257-272 ◽  
Author(s):  
Anahita Ayasoufi ◽  
Ramin K. Rahmani ◽  
Theo G. Keith
Author(s):  
Anahita Ayasoufi ◽  
Theo G. Keith ◽  
Ramin K. Rahmani

An improvement is introduced to the conservation element and solution element (CE/SE) phase change scheme presented previously. The improvement addresses a well known weakness in numerical simulations of the enthalpy method when the Stefan number, (the ratio of sensible to latent heat) is small (less than 0.1). Behavior of the improved scheme, at the limit of small Stefan numbers, is studied and compared with that of the original scheme. It is shown that high dissipative errors, associated with small Stefan numbers, do not occur using the new scheme.


PAMM ◽  
2007 ◽  
Vol 7 (1) ◽  
pp. 4070035-4070036
Author(s):  
Z. Chen ◽  
S. Diebels ◽  
H. Steeb

2019 ◽  
Vol 213 ◽  
pp. 02011
Author(s):  
Jan Česenek

The article is concerned with the numerical simulation of the compressible turbulent gas flow through the porous media using space-time discontinuous Galerkin method.The mathematical model of flow is represented by the system of non-stationary Reynolds-Averaged Navier-Stokes (RANS) equations. The flow through the porous media is characterized by the loss of momentum. This RANS system is equipped with two-equation k-omega turbulence model. The discretization of these two systems is carried out separately by the space-time discontinuous Galerkin method. This method is based on the piecewise polynomial discontinuous approximation of the sought solution in space and in time. We present some numerical experiments to demonstrate the applicability of the method using own-developed code.


Author(s):  
Hua Shen ◽  
Gang Wang ◽  
Kaixin Liu ◽  
Deliang Zhang

AbstractIn this paper, an Eulerian–Lagrangian two-phase flow model for liquid-fueled detonations is constructed. The gaseous mixture is described by an Eulerian method, and liquid particles in gaseous mixture are traced by a Lagrangian method. An improved space-time conservation element and solution element (CE/SE) scheme is applied to the simulations of detonations in liquid C


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