A shock wave is a type of propagating disturbance that travels faster than the speed of sound in a given medium, resulting in an abrupt change in pressure, temperature, and density. These waves typically occur in compressible fluids and are characterized by their steep gradients and non-linear nature, which leads to the formation of discontinuities in flow properties. Shock waves are critical in understanding various phenomena in fluid dynamics, particularly when examining the Rankine-Hugoniot relations and shock jump conditions.
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