nondimensionalization
nounEtymology From nondimensional + -ization.
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Engineering, Natural sciences, Physical sciences, Physics The partial or full removal of units from an equation involving physical quantities by a suitable substitution of variables, in order, for example, to simplify and parameterize problems where measured units are involved.
- This appendix outlines the role of several key dimensional and nondimensional parameters in micro- and nanoscale fluid mechanics that come from nondimensionalization of governing equations. A key advantage of nondimensionalization is that it leads to a compact description of flow parameters (i.e., Re) and thus leads to generalization. Nondimensionalization can be a powerful tool, but it is useful only if implemented with insight into the physics of the problems.2010, Brian J. Kirby, Micro- and Nanoscale Fluid Mechanics, Cambridge University Press, page 440:
- Each computer code will have a set of reference nondimensionalizations similar to these; a specific example is given in Section 3.5.3.2015, Russell M. Cummings, William H. Mason, Scott A. Morton, David R. McDaniel, Applied Computational Aerodynamics, Cambridge University Press, page 118:
1 more example
- We show how our Python interface outperforms the existing text-file-based configuration mechanism, providing features like automatic nondimensionalization of physical quantities and handling of complex parameter dependencies.2015, Martin Bauer, Florian Schornbaum, Christian Godenschwager, Matthias Markl, Daniela Anderl, Harald Köstler, Ulrich Rüde, “A Python Extension for the Massively Parallel Multiphysics Simulation Framework waLBerla”, in arXiv: