A particle method for 1-D compressible fluid flow. (English) Zbl 07826396
Summary: This paper proposes a novel particle scheme that provides convergent approximations of a weak solution of the Navier-Stokes equations for the 1-D flow of a viscous compressible fluid. Moreover, it is shown that all differential inequalities that hold for the fluid model are preserved by the particle method: mass is conserved, mechanical energy is decaying, and a modified mechanical energy functional is also decaying. The proposed particle method can be used both as a numerical method and as a method of proving existence of solutions for compressible fluid models.
© 2023 The Authors. Studies in Applied Mathematics published by Wiley Periodicals LLC.
© 2023 The Authors. Studies in Applied Mathematics published by Wiley Periodicals LLC.
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