TY - JOUR

T1 - Numerical simulation with low artificial dissipation of transitional flow over a delta wing

AU - Rozema, Wybe

AU - Kok, Johan

AU - Veldman, Arthur

AU - Verstappen, R.W.C.P.

PY - 2020/3/15

Y1 - 2020/3/15

N2 - A low-dissipation simulation method is used to perform simulations of transitional aerodynamic flow over a delta wing. For an accurate simulation of such a flow, numerical conservation of important physical quantities is desirable. In particular, the discretization of the convective terms of the Navier-Stokes equations should not spuriously generate or dissipate kinetic energy, because this can interfere with the transition to turbulent flow. Conservation of discrete kinetic energy by the discretized convective terms can be achieved by writing the Navier--Stokes equations in square-root variables, which results in a skew-symmetric convective term. In the paper, simulations with such a low-dissipation method are presented at chord Reynolds numbers around 200,000. The results show good agreement with experimental measurements.

AB - A low-dissipation simulation method is used to perform simulations of transitional aerodynamic flow over a delta wing. For an accurate simulation of such a flow, numerical conservation of important physical quantities is desirable. In particular, the discretization of the convective terms of the Navier-Stokes equations should not spuriously generate or dissipate kinetic energy, because this can interfere with the transition to turbulent flow. Conservation of discrete kinetic energy by the discretized convective terms can be achieved by writing the Navier--Stokes equations in square-root variables, which results in a skew-symmetric convective term. In the paper, simulations with such a low-dissipation method are presented at chord Reynolds numbers around 200,000. The results show good agreement with experimental measurements.

KW - delta wing; CFD; compressible flow; laminar-turbulent transition; energy-conserving discretization; supra-conservative

U2 - 10.1016/j.jcp.2019.109182

DO - 10.1016/j.jcp.2019.109182

M3 - Article

VL - 405

JO - Journal of computational physics

JF - Journal of computational physics

SN - 0021-9991

M1 - 109182

ER -