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Finite scale theory: Predicting nature’s shocks

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Abstract In this paper, we describe a continuum model that accurately reproduces the experimentally measured structure of physical shocks in a perfect gas. We begin by presenting a history of… Click to show full abstract

Abstract In this paper, we describe a continuum model that accurately reproduces the experimentally measured structure of physical shocks in a perfect gas. We begin by presenting a history of shock structure research, theoretical, experimental and numerical, to quantify the significant discrepancies between Navier–Stokes predictions and laboratory measurements. In our first main result, we discuss modifications that generalize the Chapman–Enskog approximation and lead to a new continuum model termed the Finite Scale Equations. In our second main result, we use this continuum model to calculate shock structure with results comparable in accuracy to numerical simulations based on the Boltzmann equation.

Keywords: theory predicting; scale theory; nature shocks; continuum model; finite scale; predicting nature

Journal Title: Wave Motion
Year Published: 2020

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