![]() The capability for simulating cross-scale and non-equilibrium flow dynamics is demonstrated. The order of convergence of the current scheme is clearly identified. Numerical experiments including wave propagation, normal shock structure, one-dimensional Riemann problem, Couette flow and lid-driven cavity will be presented to validate the scheme. Accident Reconstruction Professional will assist a trained Accident Reconstructionist to reconstruct a car accident / crash / collision with the use of mathematical formulas and calculations for virtually any collision involving motor vehicles and automobiles such as a car, truck, motorcycle, bicycle, pedestrian, bus, motor home, big rig. As a result, the current flux reconstruction kinetic scheme can be universally applied in all flow regimes. Download Accident Reconstruction Professional for free. Besides, we ensure the shock capturing property by introducing a self-adaptive artificial dissipation, which is derived naturally from the effective cell Knudsen number at the kinetic scale. The explicit singly diagonally implicit Runge-Kutta (ESDIRK) method is employed as time integrator and the stiffness of the collision term is smoothly overcome. The fast spectral method is incorporated to solve the full Boltzmann collision integral with a general collision kernel. Based on the Lagrange interpolation and reconstruction, the kinetic upwind flux functions are solved simultaneously within physical and particle velocity space. This paper addresses the idea and implementation of the first flux reconstruction method for high-order Boltzmann solutions. It is challenging to solve the Boltzmann equation accurately due to the extremely high dimensionality and nonlinearity. ![]()
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