{
  "id": "2206.09878",
  "version": "v1",
  "published": "2022-06-20T16:29:59.000Z",
  "updated": "2022-06-20T16:29:59.000Z",
  "title": "A pseudospectral method for direct numerical simulation of low-Mach, variable-density, turbulent flows",
  "authors": [
    "Bryan W. Reuter",
    "Todd A. Oliver",
    "Robert D. Moser"
  ],
  "categories": [
    "physics.flu-dyn",
    "physics.comp-ph"
  ],
  "abstract": "A novel algorithm for the direct numerical simulation of the variable-density, low-Mach Navier-Stokes equations extending the method of Kim, Moin, and Moser (1987) for incompressible flow is presented here. A Fourier representation is employed in the two homogeneous spatial directions and a number of discretizations can be used in the inhomogeneous direction. The momentum is decomposed into divergence- and curl-free portions which allows the momentum equations to be rewritten, removing the need to solve for the pressure. The temporal discretization is based on an explicit, segregated Runge-Kutta method and the scalar equations are reformulated to directly address the redundancy of the equation of state and the mass conservation equation. An efficient, matrix-free, iterative solution of the resulting equations allows for second-order accuracy in time and numerical stability for large density ratios, which is demonstrated for ratios up to $\\sim 25.7$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-20T16:29:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "direct numerical simulation",
      "pseudospectral method",
      "turbulent flows",
      "variable-density",
      "large density ratios"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}