Implicit Schemes for the Lattice Boltzmann Equation
نویسندگان
چکیده
منابع مشابه
Buoyancy Term Evolution in the Multi Relaxation Time Model of Lattice Boltzmann Method with Variable Thermal Conductivity Using a Modified Set of Boundary Conditions
During the last few years, a number of numerical boundary condition schemes have been used to study various aspects of the no-slip wall condition using the lattice Boltzmann method. In this paper, a modified boundary condition method is employed to simulate the no-slip wall condition in the presence of the body force term near the wall. These conditions are based on the idea of the bounce-back ...
متن کاملFully implicit nonstationary flow simulations with a monolithic off-lattice Boltzmann approach
In this paper, the previously described monolithic approach [6] for the stationary discrete Boltzmann equation is extended to time-dependent problems. In general, both collision and advection operators are discretized on nonuniform grids as opposed to the standard Lattice Boltzmann method. Implicit time-stepping schemes are applied for an accurate and robust numerical treatment of the nonstatio...
متن کاملNumerical Simulation of Fluid Flow Past a Square Cylinder Using a Lattice Boltzmann Method
The method of lattice boltzmann equation(LBE) is a kinetic-based approach for fluid flow computations. In the last decade, minimal kinetic models, and primarily the LBE, have met with significant success in the simulation of complex hydrodynamic phenomena, ranging from slow flows in grossly irregular geometries to fully developed turbulence, to flow with dynamic phase transitions. In the presen...
متن کاملThree ways to lattice Boltzmann: a unified time-marching picture.
It is shown that the lattice Boltzmann equation (LBE) corresponds to an explicit Verlet time-marching scheme for a continuum generalized Boltzmann equation with a memory delay equal to a half time step. This proves second-order accuracy of LBE with respect to this generalized equation, with no need of resorting to any implicit time-marching procedure (Crank-Nicholson) and associated nonlinear v...
متن کاملEulerian description of high-order bounce-back scheme for lattice Boltzmann equation with curved boundary
We propose an Eulerian description of the bounce-back boundary condition based on the high-order implicit time marching schemes to improve the accuracy of lattice Boltzmann simulation in the vicinity of curved boundary. The Eulerian description requires only one grid spacing between fluid nodes when the second-order accuracy in time and space is desired, although high-order accurate boundary co...
متن کامل