Time-Dependent Conservation Laws on Cut Cell Meshes and the Small Cell Problem

2020 ◽  
pp. 39-53
Author(s):  
Sandra May
Keyword(s):  
Conservation Laws ◽  
Small Cell ◽  
Time Dependent ◽  
Cell Problem ◽  
Cut Cell

GHOST-CELL METHOD FOR INVISCID THREE-DIMENSIONAL FLOWS WITH MOVING BODY ON CARTESIAN GRIDS

2009 ◽  
Vol 23 (03) ◽  
pp. 277-280
Author(s):  
JIANMING LIU ◽  
NING ZHAO ◽  
OU HU
Keyword(s):  
Three Dimensional ◽  
Small Cell ◽  
Special Treatment ◽  
Ghost Cell ◽  
Cartesian Grids ◽  
Cell Problem ◽  
Cell Method ◽  
Moving Body ◽  
Ghost Cell Method ◽  
Moving Bodies

This paper depicts a ghost cell method to solve the three dimensional compressible time-dependent Euler equations using Cartesian grids for static or moving bodies. In this method, there is no need for special treatment corresponding to cut cells, which complicate other Cartesian mesh methods, and the method avoids the small cell problem. As an application, we present some numerical results for a special moving body using this method, which demonstrates the efficiency of the proposed method.

The one-dimensional Green–Naghdi equations with a time dependent bottom topography and their conservation laws

2020 ◽  
Vol 32 (12) ◽  
pp. 123607
Author(s):  
E. I. Kaptsov ◽  
S. V. Meleshko ◽  
N. F. Samatova
Keyword(s):  
Conservation Laws ◽  
Bottom Topography ◽  
Time Dependent ◽  
One Dimensional ◽  
The One

scholarly journals Causal Effects of Time-Dependent Treatments in Older Patients with Non-Small Cell Lung Cancer

PLoS ONE ◽  
2015 ◽  
Vol 10 (4) ◽  
pp. e0121406
Author(s):  
Igor Akushevich ◽  
Konstantin Arbeev ◽  
Julia Kravchenko ◽  
Mark Berry
Keyword(s):  
Lung Cancer ◽  
Small Cell Lung Cancer ◽  
Cell Lung Cancer ◽  
Older Patients ◽  
Small Cell ◽  
Time Dependent ◽  
Causal Effects ◽  
Small Cell Lung

Some vorticity theorems and conservation laws for non-barotropic fluids

1981 ◽  
Vol 108 ◽  
pp. 475-483 ◽  
Author(s):  
S. D. Mobbs
Keyword(s):  
Thermodynamic Properties ◽  
Conservation Laws ◽  
Potential Vorticity ◽  
Time Dependent ◽  
Dissipative Effects ◽  
Perfect Fluids ◽  
Barotropic Fluids ◽  
Complete Set ◽  
Circulation Theorem

Some theorems concerning the vorticity in barotropic flows of perfect fluids are generalized for non-barotropic flows. The generalization involves replacing the velocity in certain parts of the equations by a time-dependent quantity which is a function of the velocity and thermodynamic properties of the fluid. Results which are generalized include Kelvin's circulation theorem and conservation laws for potential vorticity and helicity. It is shown how the results can be further generalized to include dissipative effects. The possibility of using some of the results in deriving a complete set of Lagrangian conservation laws for perfect fluids is discussed.

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