ABSTRACT
A hybrid flux splitting scheme, called AUSM+–FVS((advection upstream splitting method)+–flux vector splitting), is proposed in this article to calculate the inviscid fluxes of Euler/Navier–Stokes equations. This new scheme is obtained by hybridizing the AUSM+ scheme with FVS method. When the local Mach number tends to zero, this scheme is similar to the AUSM+. Contrarily, this scheme is similar to the FVS at the shock region. Thus, this scheme has the accuracy of AUSM+ in boundary layer region and the robustness of FVS in shock region. Several numerical tests show that AUSM+–FVS can reduce the shock instability and has a good accuracy in boundary layer region.
Nomenclature
a | = | acoustic speed, m/s |
e | = | total energy, J/kg |
H | = | enthalpy, J/kg |
M | = | Mach number |
p | = | pressure, Pa |
q | = | heat flux, W/m2 |
T | = | temperature, K |
u | = | velocity in x-direction, m/s |
v | = | velocity in y-direction, m/s |
w | = | velocity in z-direction, m/s |
x | = | Cartesian coordinate, m |
y | = | Cartesian coordinate, m |
γ | = | specific heat ratio |
λ | = | thermal conductivity, Wm−1K−1 |
μ | = | dynamic viscosity, Pa s |
ρ | = | density, kg/m3 |
τ | = | time, s |
Subscripts | ||
f | = | fluid |
w | = | wall |
= | freestream |
Nomenclature
a | = | acoustic speed, m/s |
e | = | total energy, J/kg |
H | = | enthalpy, J/kg |
M | = | Mach number |
p | = | pressure, Pa |
q | = | heat flux, W/m2 |
T | = | temperature, K |
u | = | velocity in x-direction, m/s |
v | = | velocity in y-direction, m/s |
w | = | velocity in z-direction, m/s |
x | = | Cartesian coordinate, m |
y | = | Cartesian coordinate, m |
γ | = | specific heat ratio |
λ | = | thermal conductivity, Wm−1K−1 |
μ | = | dynamic viscosity, Pa s |
ρ | = | density, kg/m3 |
τ | = | time, s |
Subscripts | ||
f | = | fluid |
w | = | wall |
= | freestream |