The immersed boundary projection method for the slip boundary condition

2020 ◽  
Vol 2020 (0) ◽  
pp. OS06-13
Author(s):  
Takehiro FUJII ◽  
Takeshi OMORI ◽  
Takeo KAJISHIMA
Keyword(s):  
Boundary Condition ◽  
Projection Method ◽  
Slip Boundary Condition ◽  
Immersed Boundary ◽  
Slip Boundary ◽  
Boundary Projection

Particle Sedimentation in a Constricted Passage Using a Flexible Forcing IB-LBM Scheme

2015 ◽  
Vol 12 (01) ◽  
pp. 1350095 ◽  
Author(s):  
S. M. Dash ◽  
T. S. Lee ◽  
H. Huang
Keyword(s):  
Boundary Condition ◽  
Moving Boundary ◽  
Correction Term ◽  
Slip Boundary Condition ◽  
Lattice Boltzmann Model ◽  
Computational Time ◽  
Immersed Boundary ◽  
Force Density ◽  
Time Step ◽  
Slip Boundary

A novel flexible forcing hybrid immersed boundary-lattice Boltzmann model (IB-LBM) is introduced in the present paper for solving moving boundary problems. In conventional IB-LBM schemes, explicit formulations of force density term may not ensure no-slip boundary condition accurately, which leads to inaccurate force and torque calculations for moving object. Following an implicit force density calculation, a single Lagrangian velocity correction term is advised in this study. The formula for this correction term is much simpler and with the help of flexible number of sub-iteration/forcing, the computational time is significantly saved. The no-slip boundary condition is achieved accurately within a convergence limit. The proposed algorithm shows advantages for unsteady and moving boundary problem, where boundary convergence is satisfied consistently at every time step. In particular, a 2D particulate flow case is simulated in a constricted channel. Interesting observations and results are discussed in this article.

A Boundary Condition-Implemented Immersed Boundary-Lattice Boltzmann Method and Its Application for Simulation of Flows Around a Circular Cylinder

2014 ◽  
Vol 6 (06) ◽  
pp. 811-829 ◽  
Author(s):  
X. Wang ◽  
C. Shu ◽  
J. Wu ◽  
L. M. Yang
Keyword(s):  
Boundary Condition ◽  
Circular Cylinder ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Delta Function ◽  
Slip Boundary Condition ◽  
Immersed Boundary ◽  
First Order ◽  
Slip Boundary ◽  
Boltzmann Method

AbstractA boundary condition-implemented immersed boundary-lattice Boltzmann method (IB-LBM) is presented in this work. The present approach is an improvement to the conventional IB-LBM. In the conventional IB-LBM, the no-slip boundary condition is only approximately satisfied. As a result, there is flow penetration to the solid boundary. Another drawback of conventional IB-LBM is the use of Dirac delta function interpolation, which only has the first order of accuracy. In this work, the no-slip boundary condition is directly implemented, and used to correct the velocity at two adjacent mesh points from both sides of the boundary point. The velocity correction is made through the second-order polynomial interpolation rather than the first-order delta function interpolation. Obviously, the two drawbacks of conventional IB-LBM are removed in the present study. Another important contribution of this paper is to present a simple way to compute the hydrodynamic forces on the boundary from Newton’s second law. To validate the proposed method, the two-dimensional vortex decaying problem and incompressible flow over a circular cylinder are simulated. As shown in the present results, the flow penetration problem is eliminated, and the obtained results compare very well with available data in the literature.

scholarly journals AN IMPROVED MOMENTUM-EXCHANGED IMMERSED BOUNDARY-BASED LATTICE BOLTZMANN METHOD FOR INCOMPRESSIBLE VISCOUS THERMAL FLOWS

2016 ◽  
Vol 42 ◽  
pp. 1660161
Author(s):  
MUFENG CHEN ◽  
XIAODONG NIU
Keyword(s):  
Boundary Condition ◽  
Lattice Boltzmann ◽  
Present Method ◽  
Slip Boundary Condition ◽  
Immersed Boundary ◽  
Density Distribution Function ◽  
Slip Boundary ◽  
Boltzmann Method ◽  
Thermal Flows ◽  
Intrinsic Feature

An improved momentum-exchanged immersed boundary-based lattice Boltzmann method (MEIB-LBM) for incompressible viscous thermal flows is presented here. MEIB-LBM was first proposed by Niu et al, which has been shown later that the non-slip boundary condition is not satisfied. Wang. et al. and Hu. et al overcome this drawback by iterative method. But it needs to give an appropriate relaxation parameter. In this work, we come back to the intrinsic feature of LBM, which uses the density distribution function as a dependent variable to evolve the flow field, and uses the density distribution function correction at the neighboring Euler mesh points to satisfy the non-slip boundary condition on the immersed boundary. The same idea can also be applied to the thermal flows with fluid-structure interference. The merits of present improvements for the original MEIB-LBM are that the intrinsic feature of LBM is kept and the flow penetration across the immersed boundaries is avoided. To validate the present method, examples, including forced convection over a stationary heated circular cylinder for heat flux condition, and natural convection with a suspended circle particle in viscous fluid, are simulated. The streamlines, isothermal contours, the drag coefficients and Nusselt numbers are calculated and compared to the benchmark results to demonstrate the effective of the present method.

A NEW IMMERSED BOUNDARY-LATTICE BOLTZMANN METHOD AND ITS APPLICATION TO INCOMPRESSIBLE FLOWS

2009 ◽  
Vol 23 (03) ◽  
pp. 261-264 ◽  
Author(s):  
CHANG SHU ◽  
JIE WU
Keyword(s):  
Boundary Condition ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Incompressible Flows ◽  
Slip Boundary Condition ◽  
Circular Cylinders ◽  
Immersed Boundary ◽  
Restoring Force ◽  
Slip Boundary ◽  
Boltzmann Method

A new immersed boundary-lattice Boltzmann method (IB-LBM) is presented in this work. In the conventional IB-LBM, the restoring force is pre-calculated, which makes the non-slip boundary condition to be only approximately satisfied. As a result, the streamline penetration to the solid body occurs. In the present study, the velocity correction (restoring force) is considered as unknown. It is determined in such a way that the non-slip boundary condition is enforced. As compared with conventional IB-LBM, the solution procedure of current IB-LBM is almost the same except that the non-slip boundary condition is guaranteed in the present scheme while it is only approximately satisfied in the conventional scheme. Numerical results for simulation of flows over fixed circular cylinders showed that the present method can provide accurate solutions without any streamline penetration phenomenon.

No-slip boundary condition in finite-size dissipative particle dynamics

2013 ◽  
Vol 232 (1) ◽  
pp. 174-188 ◽  
Author(s):  
S. Kumar Ranjith ◽  
B.S.V. Patnaik ◽  
Srikanth Vedantam
Keyword(s):  
Boundary Condition ◽  
Dissipative Particle Dynamics ◽  
Finite Size ◽  
Slip Boundary Condition ◽  
Particle Dynamics ◽  
Slip Boundary
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