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- W2001112530 abstract "Multispeed discrete Boltzmann models in Rd, satisfying all conservation laws and leading to well-defined temperatures, are studied. The (1+1)-dimensional restriction of the system of partial differential equations (PDE) satisfied by the densities of these models can be classified. One class is characterized, along a chosen coordinate, by the number and location of the independent densities and by the number and physical meaning of the independent collision terms. Each class defines a hierarchy of PDE that depends on the dimension d of a particular model in Rd. Different classes associated either with two velocity speeds 1, and 1, (d)1/2 and 2, and 2, (d)1/2 or three velocity speeds 0, 1, and 0, 2, are obtained. Each class represents a d-hierarchy of a well-known discrete model. The simplest exact solutions which are the similarity shock wave solutions are discussed and compared with the Rankine–Hugoniot solutions." @default.
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- W2001112530 date "1991-12-01" @default.
- W2001112530 modified "2023-10-18" @default.
- W2001112530 title "(1+1)-Dimensional hierarchies of multispeed discrete Boltzmann model equations" @default.
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