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The description for Taylor–von Neumann–Sedov blast wave utilizes and the total energy content of the flow to develop a self-similar solution. Unlike this problem, the imploding shock wave is not self-similar throughout the entire region (the flow field near = depends on the manner in which the shock wave is generated) and thus the Guderley ...
Shows the analytical solutions along with simulated (2nd order) solutions based upon the Kuganov and Tadmor Central Scheme with Linear Extrapolation and Ospre limiter. The diagram opposite shows a 2nd order solution to G A Sod's shock tube problem (Sod, 1978) using the above high resolution Kurganov and Tadmor Central Scheme (KT) with Linear ...
The equation must satisfy the condition that ′ = (no penetration on the solid surface) and also must correspond to conditions behind the shock wave at =, where is the half-angle of shock cone, which must be determined as part of the solution for a given incoming flow Mach number and . The Taylor–Maccoll equation has no known explicit ...
The Sod shock tube problem, named after Gary A. Sod, is a common test for the accuracy of computational fluid codes, like Riemann solvers, and was heavily investigated by Sod in 1978. The test consists of a one-dimensional Riemann problem with the following parameters, for left and right states of an ideal gas .
Exactly at the same time, in the United States, John von Neumann was working on the same problem and he presented his results on June 30, 1941. [4] It was said that Leonid Sedov was also working on the problem around the same time in the USSR, although Sedov never confirmed any exact dates. [5] The complete solution was published first by Sedov ...
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In computational fluid dynamics, shock-capturing methods are a class of techniques for computing inviscid flows with shock waves.The computation of flow containing shock waves is an extremely difficult task because such flows result in sharp, discontinuous changes in flow variables such as pressure, temperature, density, and velocity across the shock.
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