Setting up Physics Continuum

In the physics continuum, you choose the Coupled Flow model for solving the steady hypersonic flow. Mesh adaption is activated by choosing the Adaptive Mesh model. In a later stage, you define the adaptive criterion based on the Mach number.

To select the physics models:
  1. For the physics continuum, right-click the Continua > Physics 1 > Models node and select the following models in order:

    Group Box

    Model

    Space

    Three Dimensional

    Material Gas
    Flow

    Coupled Flow

    Gradients (Selected automatically)

    Equation of State

    Real Gas

    Coupled Energy (Selected automatically)

    Equilibrium Air

    As the compressibility and thermodynamic effects of the hypersonic flow cannot be described with the ideal gas law, the Real Gas model is chosen in conjunction with the Equilibrium Air model. Refer to Equilibrium Air for more details.

    Time

    Steady

    Viscous Regime

    Laminar

    Optional Models

    Adaptive Mesh

    NoteThe simulation runs as laminar because the high pressure shock expected in the hypersonic flow suppresses the development of turbulence.
To set up the Coupled Flow model:
  1. Select the Continua > Physics 1 > Coupled Flow node and set the properties as follows:
    Property Setting
    Discretization MUSCL 3rd-order/CD

    The 3rd order discretization improves stability and accuracy of high speed flow.

    Positivity Rate Limit 0.05

    This value defines the maximum rate by which temperature is allowed to decrease from iteration to iteration. Due to the high temperature levels in hypersonic flow, lowering this value from 0.2 to 0.05 stabilizes the temperature correction. See also: Positivity Rate Limit

    Unsteady Low-Mach Preconditioning False
    Coupled Inviscid Flux AUSM + FVS

    This scheme is the recommended flux scheme for compressible flow.

Due to the viscous dissipation of the flow's kinetic energy, the static temperature jumps by a factor of 30 across a shock wave at Mach 12. Hence, the upper limit on temperatures in the solution must be increased from 5000 K to 10000 K.
  1. Select the Continua > Physics 1 > Reference Values > Maximum Allowable Temperature node and set Value to 10000K.
  2. Save the simulation.