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2017 | OriginalPaper | Chapter

3. Numerical Methods

Authors : F. Alobaid, B. Epple, R. Leithner, H. Müller, H. Zindler, K. Ponweiser, H. Walter

Published in: Numerical Simulation of Power Plants and Firing Systems

Publisher: Springer Vienna

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Abstract

As already noted in Sect. 1.1 (Fig. 1.2) and Chap. 2, the balance equations for mass, momentum, energy, substances, and phases and the constitutive equations or models for heat and mass transfer, substance transformation and phase transition, turbulence, and physical characteristics form a coupled system of non-linear partial differential equations (PDE). The complexity (number of equations) depends on the problem to be modeled and the expected detailing of the results.

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previous chapter Conversion and Transport of Mass, Energy, Momentum, and Materials

next chapter Simulation of Firing and Gas Flow

Whether or not a flow can be described as compressible or incompressible does not depend on the flow’s density variability alone. Density variations that can be attributed to a strong local acceleration up to Mach numbers greater than approximately 0.4 can be regarded as being criteria for the compressibility of a flow. If the density changes are caused by other factors, such as the heat released in chemical reactions, the flow may be quite incompressible despite strong density variations.

The * denotes the individual estimated or inaccurate variables of velocity w and pressure p, respectively

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Title: Numerical Methods
Authors: F. Alobaid
B. Epple
R. Leithner
H. Müller
H. Zindler
K. Ponweiser
H. Walter
Publisher: Springer Vienna
Book: Numerical Simulation of Power Plants and Firing Systems
Print ISBN: 978-3-7091-4853-2

Electronic ISBN: 978-3-7091-4855-6

Copyright Year: 2017
DOI: https://doi.org/10.1007/978-3-7091-4855-6_3