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Kinetic or Boltzmann schemes are interesting alternatives to the macroscopicnumerical methods for solving the hyperbolic conservation laws of gas dynamics.They utilize the particle-based description instead of the wave propagationmodels. While the continuous particle velocity based upwind schemes weredeveloped in the earlier decades, the discrete velocity Boltzmann schemesintroduced in the last decade are found to be simpler and are easier to handle.In this work, we introduce a novel way of introducing discrete velocities whichcorrespond to the physical wave speeds and formulate a discrete velocityBoltzmann scheme for solving Euler equations.

A Boltzmann scheme with physically relevant discrete velocities for Euler equations