Subgrid modeling for the filtered scalar transport equation

1999 ◽  
pp. 257-263
Author(s):  
A. Leonard
Keyword(s):  
Transport Equation ◽  
Scalar Transport ◽  
Subgrid Modeling

Mixing Simulations of a Wankel Pump as a Micromixer

2016 ◽  
Author(s):  
S. Wan ◽  
M. S. W. Lau ◽  
J. Leong ◽  
N. An ◽  
K. L. Goh
Keyword(s):  
Transport Equation ◽  
Flow Structure ◽  
Three Dimensional ◽  
Scalar Transport ◽  
Species Concentration ◽  
Pump Chamber ◽  
Vertical Dispersion ◽  
General Scalar ◽  
Numerical Mixing ◽  
Binary Mixing

The present work was movitated by an earlier study on pumps based on a Wankel geometry (Wankel pumps) which revealed a flow structure, rich in three dimensional vortices (including Taylor like counter-rotating ones), in the pump chamber, suggesting the possibility of a Wankel pump of also functioning as a mixer. To this end, numerical mixing experiments were run using the general scalar transport equation to model the evolution of species concentration. Interestingly, it was observed that species dispersion occurs predominantly sideways (laterally) and that vertical dispersion is almost non-existent. In other words, for binary mixing of two species with a Wankel pump, they must be introduced side by side to ensure effective mixing.

scholarly journals A higher-order difference scheme of the Cabaret class for solving the transport equation

2018 ◽  
pp. 185-193
Author(s):  
А.В. Соловьев ◽  
А.В. Данилин
Keyword(s):  
Difference Scheme ◽  
Transport Equation ◽  
Higher Order ◽  
Scalar Transport ◽  
Order Of Approximation ◽  
Order Of Accuracy ◽  
Order Difference ◽  
Cabaret Scheme ◽  
Dispersion Properties

Предложена новая разностная схема класса Кабаре повышенного порядка точности для решения скалярного уравнения переноса. Порядок аппроксимации разностной схемы равен четырем. Построено балансно-характеристическое представление схемы и приведены дисперсионные свойства. Для предложенной разностной схемы в сравнении с классической схемой Кабаре рассмотрены примеры решения уравнения переноса для гладкого и разрывного профиля. A new difference scheme of the Cabaret class with a higher order of accuracy for solving the scalar transport equation is proposed. The order of approximation of this difference scheme is equal to four. The balance-characteristic representation of the scheme is constructed and the dispersion properties are given. For the proposed difference scheme, a number of examples to solve the transport equation for smooth and discontinuous profiles are considered in comparison with the classical Cabaret scheme.

scholarly journals A scalar transport equation. II.

1957 ◽  
Vol 4 (3) ◽  
pp. 193-206 ◽  
Author(s):  
Z. A. Melzak
Keyword(s):  
Transport Equation ◽  
Scalar Transport

Existence of a weak solution for the semigeostrophic equation with integrable initial data

2002 ◽  
Vol 132 (2) ◽  
pp. 329-339 ◽  
Author(s):  
M. C. Lopes Filho ◽  
H. J. Nussenzveig Lopes
Keyword(s):  
Weak Solution ◽  
Initial Data ◽  
Transport Equation ◽  
Scalar Transport ◽  
System Of Equations ◽  
Monge Ampere ◽  
Active Scalar

In this article we present a proof of existence of a weak solution for the semigeostrophic system of equations, formulated as an active scalar transport equation with Monge-Ampère coupling, with initial data in . This is an extension of a 1998 result due to Benamou and Brenier, who proved existence with initial data in .

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