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A Boltzmann scheme with physically relevant discrete velocities for Euler equations

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Abstract

Kinetic or Boltzmann schemes are interesting alternatives to the macroscopic numerical methods for solving the hyperbolic conservation laws of gas dynamics. They utilize the particle-based description instead of the wave propagation models. While the continuous particle velocity based upwind schemes were developed in the earlier decades, the discrete velocity Boltzmann schemes introduced in the last decade are found to be simpler and are easier to handle. In this work, we introduce a novel way of introducing discrete velocities which correspond to the physical wave speeds and formulate a discrete velocity Boltzmann scheme for solving Euler equations.

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Authors and Affiliations

  1. Department of Aeronautical Engineering, Annasaheb Dange College of Engineering and Technology, Ashta, India

    N. Venkata Raghavendra

  2. Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India

    S. V. Raghurama Rao

Authors
  1. N. Venkata Raghavendra
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  2. S. V. Raghurama Rao
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Correspondence to S. V. Raghurama Rao.

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Raghavendra, N.V., Rao, S.V.R. A Boltzmann scheme with physically relevant discrete velocities for Euler equations. Int J Adv Eng Sci Appl Math 13, 305–328 (2021). https://doi.org/10.1007/s12572-021-00311-y

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