### A Computational Biofluid Dynamic Approach Using The General Lattice Boltzmann Equation.

#### Abstract

The lattice Boltzmann method (LBM) is a modern numerical technique, very

efficient, flexible to simulate different flows within complex/varying geometries. The LBM has

evolved from the lattice gas automata (LGA) in order to overcome the difficulties with the

LGA. The core equation in the LBM turns out to be a special discrete form of the continuum

Boltzmann equation, leading it to be self-explanatory in statistical physics. In contrast with

the traditional computational fluid dynamics (CFD) based on a direct solution of flow

equations, the lattice Boltzmann method provides an indirect way for solution of the flow

equations. This method is characterized by simple calculation, parallel process and easy

implementation of boundary conditions. This feature makes the lattice Boltzmann method a

very promising computational approach in different areas. A computational code is described

for numeric simulations of blood flow using the Cellular Automata theory, applying the lattice

Boltzmann general equation (GLBE). The algorithm and user's environment are also

described. The mathematical theory required for the program code is also included and a

formal example is included to show the versatility and power of the method.

efficient, flexible to simulate different flows within complex/varying geometries. The LBM has

evolved from the lattice gas automata (LGA) in order to overcome the difficulties with the

LGA. The core equation in the LBM turns out to be a special discrete form of the continuum

Boltzmann equation, leading it to be self-explanatory in statistical physics. In contrast with

the traditional computational fluid dynamics (CFD) based on a direct solution of flow

equations, the lattice Boltzmann method provides an indirect way for solution of the flow

equations. This method is characterized by simple calculation, parallel process and easy

implementation of boundary conditions. This feature makes the lattice Boltzmann method a

very promising computational approach in different areas. A computational code is described

for numeric simulations of blood flow using the Cellular Automata theory, applying the lattice

Boltzmann general equation (GLBE). The algorithm and user's environment are also

described. The mathematical theory required for the program code is also included and a

formal example is included to show the versatility and power of the method.

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Güemes 3450

S3000GLN Santa Fe, Argentina

Phone: 54-342-4511594 / 4511595 Int. 1006

Fax: 54-342-4511169

E-mail: amca(at)santafe-conicet.gov.ar

**Asociación Argentina de Mecánica Computacional**Güemes 3450

S3000GLN Santa Fe, Argentina

Phone: 54-342-4511594 / 4511595 Int. 1006

Fax: 54-342-4511169

E-mail: amca(at)santafe-conicet.gov.ar

**ISSN 2591-3522**