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The Bhatnagar–Gross–Krook operator (abbreviated BGK operator) term refers to a collision operator used in the Boltzmann equation and in the lattice Boltzmann method, a computational fluid dynamics technique. It is given by the following formula: where is a local equilibrium value for the population of particles in the direction of link The term is a relaxation time, and related to the viscosity. The operator is named after Prabhu L. Bhatnagar, Eugene P. Gross, and Max Krook, the three scientists who introduced it in a paper in Physical Review in 1954.

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  • Bhatnagar–Gross–Krook operator (en)
  • Méthode de Bhatnagar-Gross-Krook (fr)
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  • The Bhatnagar–Gross–Krook operator (abbreviated BGK operator) term refers to a collision operator used in the Boltzmann equation and in the lattice Boltzmann method, a computational fluid dynamics technique. It is given by the following formula: where is a local equilibrium value for the population of particles in the direction of link The term is a relaxation time, and related to the viscosity. The operator is named after Prabhu L. Bhatnagar, Eugene P. Gross, and Max Krook, the three scientists who introduced it in a paper in Physical Review in 1954. (en)
  • L'opérateur de Bhatnagar-Gross-Krook (en abrégé BGK) est un opérateur linéaire qui se substitue à l'opérateur de collision de l'équation de Boltzmann la fonction de distribution statistique de la vitesse à l'instant au point , sa valeur d'équilibre donnée par la statistique de Maxwell et un temps caractéristique. Cette approximation a été introduite en 1954 par Prabhu Lal Bhatnagar, Eugene Gross et Max Krook. Elle permet de substantielles simplifications de la résolution de l'équation de Boltzmann et est très utilisée dans la méthode de Boltzmann sur réseau. (fr)
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  • The Bhatnagar–Gross–Krook operator (abbreviated BGK operator) term refers to a collision operator used in the Boltzmann equation and in the lattice Boltzmann method, a computational fluid dynamics technique. It is given by the following formula: where is a local equilibrium value for the population of particles in the direction of link The term is a relaxation time, and related to the viscosity. The operator is named after Prabhu L. Bhatnagar, Eugene P. Gross, and Max Krook, the three scientists who introduced it in a paper in Physical Review in 1954. (en)
  • L'opérateur de Bhatnagar-Gross-Krook (en abrégé BGK) est un opérateur linéaire qui se substitue à l'opérateur de collision de l'équation de Boltzmann la fonction de distribution statistique de la vitesse à l'instant au point , sa valeur d'équilibre donnée par la statistique de Maxwell et un temps caractéristique. Cette approximation a été introduite en 1954 par Prabhu Lal Bhatnagar, Eugene Gross et Max Krook. Elle permet de substantielles simplifications de la résolution de l'équation de Boltzmann et est très utilisée dans la méthode de Boltzmann sur réseau. (fr)
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