Shaping the equation of state to improve numerical accuracy and stability of the pseudopotential lattice Boltzmann method

Autor(es)

Czelusniak, Luiz Eduardo ; Mapelli, Vinicius Pessoa ; Wagner, Alexander J. ; Cabezas-Gomez, Luben

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW E; v. 105, n. 1, p. 15-pg., 2022-01-10.

Resumo

It has recently been shown that altering the shape of the metastable and unstable branches of an equation of state (EOS) can substantially improve the numerical accuracy of liquid and vapor densities in the pseudopotential lattice Boltzmann method [Peng et al., Phys. Rev. E 101, 063309 (2020)]. We found that this approach reduces stability of the method in nonequilibrium conditions and is unstable for bubbles at low reduced temperatures. Here we present an improved method for altering the shape of the metastable and unstable branches of the EOS which remains stable for both equilibrium and nonequilibrium situations and has no issues with bubbles. We also performed a detailed study of the stability of the methods for a droplet impact on a liquid film for reduced temperatures down to 0.35 with Reynolds number of 300. Our approach remained stable for a density ratio of up to 3.38 x 10(4). (AU)

• Processo FAPESP: 18/09041-5 - Estudo do Método Lattice Boltzmann para modelagem de escoamentos em microcanais de absorvedores solares
• Beneficiário: Luiz Eduardo Czelusniak
• Modalidade de apoio: Bolsas no Brasil - Doutorado Direto
• Processo FAPESP: 16/09509-1 - Processos de transferência de calor com mudança de fase de elevado desempenho aplicados ao aproveitamento de energia solar
• Beneficiário: Gherhardt Ribatski
• Modalidade de apoio: Auxílio à Pesquisa - Temático