Linearly Implicit Approximations of Diffusive Relaxation Systems

2012 ◽  
Vol 125 (1) ◽  
pp. 79-103
Author(s):  
Fausto Cavalli
2020 ◽  
Vol 98 (3) ◽  
pp. 154-157
Author(s):  
Itamar Ashkenazi ◽  
Oded Olsha ◽  
Moris Topaz
Keyword(s):  

2008 ◽  
Vol 60 (1) ◽  
pp. 66-77 ◽  
Author(s):  
A. Yu. Kolesov ◽  
E. F. Mishchenko ◽  
N. Kh. Rozov
Keyword(s):  

1977 ◽  
Vol 281 (3) ◽  
pp. 509-532 ◽  
Author(s):  
P. Russo ◽  
R.P. Schmitt ◽  
G.J. Wozniak ◽  
R.C. Jared ◽  
P. Glässel ◽  
...  

1997 ◽  
Vol 36 (6-7) ◽  
pp. 311-316 ◽  
Author(s):  
J. C. Van den Heuvel ◽  
E. E. Beuling ◽  
D. Van Dusschoten ◽  
O. L. Roosenschoon ◽  
P. G. Verschuren

Gas bubbles entrapped in biocatalyst particles subjected to hydrostatic pressure oscillations, e.g. during recirculation in loop reactors, will induce intraparticle liquid flows, and thereby enhance mass transfer in excess of diffusion. This ‘breathing particle’ mechanism was already demonstrated in methanogenic granules from an IC reactor, and led to an average macroscopic activity increase of 13%. The existence of the alternating convective liquid flow responsible for this higher activity has now been established independently with pulsed field gradient NMR, as the intraparticle water mobility during pressure oscillations was found 16.5% larger. Micro-electrode measurements of the internal pH of a granule revealed the occurrence of a fast liquid flow through a channel between a central cavity and the periphery during pressure cycling, and the subsequent diffusive relaxation under atmospheric conditions.


2020 ◽  
Vol 30 (07) ◽  
pp. 1407-1439
Author(s):  
Yizhou Zhou ◽  
Wen-An Yong

Starting with this paper, we intend to develop a program aiming at construction of boundary conditions (BCs) for hyperbolic relaxation systems. Physically, such BCs are not always available. The construction is based on the assumption that the relaxation systems and well-posed BCs for the corresponding equilibrium systems are given. This paper focuses on the linearized Suliciu model. We obtain strictly dissipative and compatible BCs for the linearized model with different non-characteristic boundaries. Moreover, the effectiveness of the constructed BCs is shown by resorting to formal asymptotic solutions and energy estimates.


1993 ◽  
Vol 26 (13) ◽  
pp. 3357-3362 ◽  
Author(s):  
S. Vogt ◽  
T. Jian ◽  
S. H. Anastasiadis ◽  
G. Fytas ◽  
E. W. Fischer

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