Evaluation of the 1-D hyperbolic quadrature method of moments for non-equilibrium flows

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Laurent, Frédérique
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HAL Open Science
Fox, Rodney
Distinguished Professor
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Chemical and Biological Engineering

The function of the Department of Chemical and Biological Engineering has been to prepare students for the study and application of chemistry in industry. This focus has included preparation for employment in various industries as well as the development, design, and operation of equipment and processes within industry.Through the CBE Department, Iowa State University is nationally recognized for its initiatives in bioinformatics, biomaterials, bioproducts, metabolic/tissue engineering, multiphase computational fluid dynamics, advanced polymeric materials and nanostructured materials.

The Department of Chemical Engineering was founded in 1913 under the Department of Physics and Illuminating Engineering. From 1915 to 1931 it was jointly administered by the Divisions of Industrial Science and Engineering, and from 1931 onward it has been under the Division/College of Engineering. In 1928 it merged with Mining Engineering, and from 1973–1979 it merged with Nuclear Engineering. It became Chemical and Biological Engineering in 2005.

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1913 - present

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  • Department of Chemical Engineering (1913–1928)
  • Department of Chemical and Mining Engineering (1928–1957)
  • Department of Chemical Engineering (1957–1973, 1979–2005)
    • Department of Chemical and Biological Engineering (2005–present)

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When considering moment methods for the resolution of the free-transport term of the 1-D kinetic equation, the hyperbolic quadrature method of moments (HyQMOM) closure introduced in [12] leads to a globally hyperbolic system of conservation equations. Here, the HLL scheme used for its resolution is first proved to be realizable, i.e., allows computed moments to remain moments of a positive measure, exploiting a new property shown for the closure. Then, the accuracy of HyQMOM is evaluated for two test cases from the literature. The first is related to rarefied gas dynamics, where the internal structure of stationary shock waves is simulated for non-equilibrium cases. The second is related to the description of a population of inertial particles, where two populations cross each other without interacting.
This is a pre-print of the article Frédérique Laurent, Rodney O. Fox. Evaluation of the 1-D hyperbolic quadrature method of moments for non-equilibrium flows. 2023. hal-04098742 Attribution 4.0 International (CC BY 4.0). Copyright 2023 The Authors. Posted with permission.
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