Lattice Boltzmann method with two relaxation times for advection-diffusion equation: Third order analysis and stability analysis

Advances in Water Resources

Volumn 31, Issue 8, 2008, Pages 1113-1126

  Servan Camas, Borja ^a   Tsai, Frank T C ^a  

^a Louisiana State University   (United States)

Author keywords

Advection diffusion equation; Lattice Boltzmann method; Mass transport

Indexed keywords

ADVECTION; BESSEL FUNCTIONS; BOLTZMANN EQUATION; COMPUTATIONAL FLUID DYNAMICS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); DIFFUSION; DISTRIBUTION FUNCTIONS; DROP FORMATION; EIGENVALUES AND EIGENFUNCTIONS; FLOW OF FLUIDS; FUNCTION EVALUATION; LINEAR EQUATIONS; MATHEMATICAL OPERATORS; MODAL ANALYSIS; NUMERICAL METHODS; OPTICAL BISTABILITY; PECLET NUMBER; RELAXATION PROCESSES; RELAXATION TIME; SEMICONDUCTOR DOPING; SYSTEM STABILITY; TURBULENT FLOW; TWO PHASE FLOW;

ADVECTION DIFFUSION EQUATION (ADE); CHAPMAN ENSKOG EXPANSION; COLLISION OPERATORS; COURANT NUMBERS; DIFFERENT TYPES; ELSEVIER (CO); EQUILIBRIUM DISTRIBUTION FUNCTION (EDF); FLEXIBLE MODELING; LATTICE (CO); LATTICE BOLTZMANN METHOD (LBM); LINEAR STABILITY; NUMERICAL DIFFUSION; NUMERICAL DISPERSIONS; NUMERICAL EXAMPLES; SECOND ORDERS; SOLUTION ACCURACY; STABILITY ANALYSIS (IGC: E5/E13); STABILITY DOMAINS; THIRD ORDER ACCURACY; THIRD ORDER ANALYSIS; THIRD-ORDER; TWO RELAXATION TIMES;

LINEAR STABILITY ANALYSIS;

ACCURACY ASSESSMENT; ADVECTION-DIFFUSION EQUATION; LINEARITY; MASS TRANSPORT; NUMERICAL METHOD; STABILITY ANALYSIS;

EID: 46849096510     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2008.05.001     Document Type: Article

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