Shim, Jae Wan Gatignol, Renee 2024-01-20T17:04:27Z 2024-01-20T17:04:27Z 2021-09-02 2011-04-25 1539-3755 https://pubs.kist.re.kr/handle/201004/130441 We propose an approach to derive the thermal lattice Boltzmann method that is based on the Taylor expansion in variables of temperature as well as velocity and a direct calculation upon the Gaussian quadrature based hypothesis. This enables us to overcome the isothermal limitation and the low-order accuracy simultaneously. A systematic framework is explained for constructing numerically stable lattice Boltzmann models. The stability of this one-dimensional lattice Boltzmann model is demonstrated with a shock tube simulation. English AMER PHYSICAL SOC MODEL Thermal lattice Boltzmann method based on a theoretically simple derivation of the Taylor expansion Article 10.1103/PhysRevE.83.046710 1 PHYSICAL REVIEW E, v.83, no.4 PHYSICAL REVIEW E 83 4 scie scopus 000290153000015 2-s2.0-79961079492 Physics, Fluids & Plasmas Physics, Mathematical Physics Article MODEL