Index
A
Acoustic speed, 33
Adiabatic expansion, ideal gas, 9
Adiabatic process, ideal gas, 8
Analytical solutions
for density, 272–274
for pressure, 275–278
for velocity, 269–272
Approximate treatment, strong shocks
Bethe’s approximation, 256–264
Chernyi’s approximation, 253–256
point source solution, 252
Artificial viscosity, 2
dissipative mechanism, 132
Lagrangian equations (see Lagrangian
equations)
numerical value of κ, 164, 169
plane-wave motion, equations, 136
spherical shock waves, 288, 295
steady-state plane shock, 137, 139–141
variation, in specific volume across the
shock, 141–144
B
Bethe’s approximation, 256–264
Binomial expansion, 116, 118, 119, 201
Blast wave, 218, 242, 243, 246, 250
Boltzmann’s constant, 10
Brode’s finite difference equations, 289, 291
C
Caloric equation of state, 2
Central difference, 148
Chernyi’s approximation, 253–256
Colliding shock waves, 207, 211–213
Conservation equations
plane geometry (see Plane geometry)
shock waves
conditions, side of shock front, 94
energy, 90–92
fluid velocity, 94
mass, 90
momentum, 90
reflected shock waves, 110
stationary fluid, 89
variables, 94
velocity, 90
in spherical geometry, 288
Conservation of momentum equation, 134
Courant-Friedrichs-Lewy (CFL) condition, 151
D
Density ratio for weak shocks, 98, 103, 104,
111, 113, 118, 120, 128, 129, 164,
176, 177, 298
Differential equations, 288–291
Driver gas, 174
Driven section, 174
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
S. Prunty, Introduction to Simple Shock Waves in Air, Shock Wave and High
Pressure Phenomena, https://doi.org/10.1007/978-3-030-63606-7
339
A
Acoustic speed, 33
Adiabatic expansion, ideal gas, 9
Adiabatic process, ideal gas, 8
Analytical solutions
for density, 272–274
for pressure, 275–278
for velocity, 269–272
Approximate treatment, strong shocks
Bethe’s approximation, 256–264
Chernyi’s approximation, 253–256
point source solution, 252
Artificial viscosity, 2
dissipative mechanism, 132
Lagrangian equations (see Lagrangian
equations)
numerical value of κ, 164, 169
plane-wave motion, equations, 136
spherical shock waves, 288, 295
steady-state plane shock, 137, 139–141
variation, in specific volume across the
shock, 141–144
B
Bethe’s approximation, 256–264
Binomial expansion, 116, 118, 119, 201
Blast wave, 218, 242, 243, 246, 250
Boltzmann’s constant, 10
Brode’s finite difference equations, 289, 291
C
Caloric equation of state, 2
Central difference, 148
Chernyi’s approximation, 253–256
Colliding shock waves, 207, 211–213
Conservation equations
plane geometry (see Plane geometry)
shock waves
conditions, side of shock front, 94
energy, 90–92
fluid velocity, 94
mass, 90
momentum, 90
reflected shock waves, 110
stationary fluid, 89
variables, 94
velocity, 90
in spherical geometry, 288
Conservation of momentum equation, 134
Courant-Friedrichs-Lewy (CFL) condition, 151
D
Density ratio for weak shocks, 98, 103, 104,
111, 113, 118, 120, 128, 129, 164,
176, 177, 298
Differential equations, 288–291
Driver gas, 174
Driven section, 174
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
S. Prunty, Introduction to Simple Shock Waves in Air, Shock Wave and High
Pressure Phenomena, https://doi.org/10.1007/978-3-030-63606-7
339