Partial Differential Equations in Fluid Dynamics

2008 ◽  
Author(s):  
Isom H. Herron ◽  
Michael R. Foster
Keyword(s):  
Fluid Dynamics ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential

scholarly journals Using analog computers in today's largest computational challenges

2021 ◽  
Vol 19 ◽  
pp. 105-116
Author(s):  
Sven Köppel ◽  
Bernd Ulmann ◽  
Lars Heimann ◽  
Dirk Killat
Keyword(s):  
Fluid Dynamics ◽  
Computational Fluid Dynamics ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Energy Efficient ◽  
Large Scale ◽  
Scientific Computing ◽  
Analog Computer ◽  
Partial Differential ◽  
Technology Platform

Abstract. Analog computers can be revived as a feasible technology platform for low precision, energy efficient and fast computing. We justify this statement by measuring the performance of a modern analog computer and comparing it with that of traditional digital processors. General statements are made about the solution of ordinary and partial differential equations. Computational fluid dynamics are discussed as an example of large scale scientific computing applications. Several models are proposed which demonstrate the benefits of analog and digital-analog hybrid computing.

SYMMETRY BREAKING IN CFD: CAUSES AND CONSEQUENCES

1994 ◽  
Vol 05 (02) ◽  
pp. 189-194 ◽  
Author(s):  
KARL GUSTAFSON ◽  
JOHN McARTHUR
Keyword(s):  
Fluid Dynamics ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Symmetry Breaking ◽  
Steady Flow ◽  
Time Dependent ◽  
Partial Differential ◽  
One Dimensional ◽  
Computational Schemes ◽  
Three Space

Symmetry breaking occurs in the discretizations of the partial differential equations of fluid dynamics, both advertently and inadvertently. Although it can occur even in one-dimensional steady flow algorithms, we have found its consequences to be more pronounced in two and three space dimensions and in the computation of time dependent flows. This has led us to some interesting new computational schemes.

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