Authors:
Dimitri Harder
;
Edmond Skeli
and
Dirk Weidemann
Affiliation:
Institute of System Dynamics and Mechatronics, University of Applied Sciences Bielefeld, Bielefeld and Germany
Keyword(s):
Navier-Stokes, Differential-Algebraic Equation, Marker and Cell, Fluid Simulation, Free Surface.
Related
Ontology
Subjects/Areas/Topics:
Industrial Engineering
;
Informatics in Control, Automation and Robotics
;
Modeling, Simulation and Architectures
;
Robotics and Automation
;
Signal Processing, Sensors, Systems Modeling and Control
;
System Modeling
;
Systems Modeling and Simulation
Abstract:
With the aim of using efficient control and/or diagnostic methods, more and more companies in the process engineering industry are using mathematical models to describe the underlying physical processes in sufficient detail. Against this background, the modeling and simulation of the behaviour of a non-isothermal, highly viscous fluid flow is examined in this paper. The behaviour of the fluid is decribed by a system of partial differential equations, which includes the incompressible Navier-Stokes equations as well as the thermal energy equation. With regard to the numerical calculation of the process variables, a combination of the Marker and Cell (MAC) method and a temperature calculation on a curvilinear grid is presented. The MAC method is used to identify the free surface by inserting particles without masses over the initialized fluid area and moving them with the calculated velocities. A characteristic feature of the typical use of the MAC method is that the defining partial d
ifferential equations are discretized spatially on a rectangular grid. However, this leads to the problem that a large part of the grid nodes lies within the obstacles which are surrounded by the fluid. In the present model, on the other hand, a curvilinear grid is used. The main advantage of this is that the outer grid nodes lie directly on the surrounding obstacles, resulting in a reduced system of differential-algebraic equations.
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