Journal of Fluid Mechanics · 1957 · 73 citations · 5 references
Natural SciencesMathematicsMechanical EngineeringComputational Fluid DynamicsFluid DynamicsFluid MechanicsCompressible FlowFinite Difference MethodsNavier-stokes EquationsNumerical Methods For Differential EquationsShock WavesFinite Difference DiscretizationFinite Difference SchemesShock AnalysisShock DynamicsShock Wave ModelingShock Wave Structure
The finite difference method due to Lax (1954) is used to solve the equations of motion for a cylindrically symmetric flow of a compressible fluid. In particular, a converging cylindrical shock is found to increase in strength in agreement with the formula of Chisnell (1957). The artificial diffusion introduced by the method causes the pressure to remain finite at the axis, but a reflected diverging shock is obtained.
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