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Blunted cone

Axially-symmetric mesh | Thermal non-equilibrium | Slip boundary conditions

  Working directory located here

  See Section 3.1. Mach 11.3 Blunted Cone in
V. Casseau, D. E.R. Espinoza, T. J. Scanlon, and R. E. Brown, "A Two-Temperature Open-Source CFD Model for Hypersonic Reacting Flows, Part Two: Multi-Dimensional Analysis," Aerospace, vol. 3, no. 4, p. 45, 2016   [Full HTML→]

1. CASE SETUP

1.1 Mesh

View of the structured gmsh mesh provided in the constant/backup-polyMesh folder (each 5th line is represented in each direction). It is aligned with the bow shock, has 120,000 hexahedra, and the first layer height is equal to 2 x 10-6 m.

1.2 Case conditions

The blunted cone is a fully-diffuse surface set at a temperature of 297.2 K. The inert fluid is N2 and the freestream conditions are given in 0/include/initialConditions:

  • Ma∞ = 11.3
  • Knov = 0.002
  • p∞ = 21.9 Pa
  • Ttr, ∞ = 144.4 K
  • Tv, ∞ = 144.4 K
  • U∞ = (2764.5 0 0) m/s

Smoluchowski temperature jump and Maxwell velocity slip boundary conditions are used.

1.3 Thermo-chemical and transport models

This test case is using the following thermo-chemical and transport models:

  • thermally-perfect gas (excluding the electronic energy contribution)
  • no chemical reactions
  • two-temperature model
    • V—T energy transfer: Landau-Teller, tabulated Millikan-White coefficients, Park’s correction
  • species viscosity: power law
  • species thermal conductivity: Eucken
  • laminar flow

1.4 Time controls

The initial time-step is set to 1 x 10-10 s and the maximum CFL number is 0.5. The simulation end time is equal to 0.0002 s.

 

2. RUNNING

The following commands will execute gmshToFoam, checkMesh and hy2Foam in serial

./Allclean  
./Allrun

To run hy2Foam in parallel (say on 4 CPUs), please first edit the numberOfSubdomains in the system/decomposeParDict dictionary and type in

./Allclean  
./Allrun 4

 

3. MONITORING

gnuplot gnuplot/monitorResiduals

 

4. FLOW VISUALISATIONS IN PARAVIEW

 

5. POST-PROCESSING

gnuplot gnuplot/monitorCd 
gnuplot gnuplot/monitorIntegratedWallHeatFlux

 

6. SOLUTION

On the following graphs, the tutorial case results are given by the black solid lines:

Stagnation line data (a–c) and surface coefficients (d–f) along the blunted cone:
(a) normalised temperature, (b) normalised mass density, (c) normalised velocity, (d) pressure coefficient, (e) friction coefficient, and (f) Stanton number.

 

7. REGRESSION TESTING

Check that the results are matching the solution stored in gnuplot/solution/ within a given tolerance:

./Alltest


Contributors: Dr Vincent Casseau and Dr Daniel E.R. Espinoza