# Spatial Coupling of a Lattice Boltzmann fluid model with a Finite Difference Navier-Stokes solver

@article{Latt2005SpatialCO, title={Spatial Coupling of a Lattice Boltzmann fluid model with a Finite Difference Navier-Stokes solver}, author={Jonas Latt and Bastien Chopard and Paul Albuquerque}, journal={arXiv: Computational Physics}, year={2005} }

In multiscale, multi-physics applications, there is an increasing need for coupling numerical solvers that are each applied to a different part of the problem. Here we consider the case of coupling a Lattice Boltzmann fluid model and a Finite Difference Navier-Stokes solver. The coupling is implemented so that the entire computational domain can be divided in two regions, with the FD solver running on one of them and the LB one on the other.
We show how the various physical quantities of the…

## 10 Citations

### Accuracy of Hybrid Lattice Boltzmann/Finite Difference Schemes for Reaction-Diffusion Systems

- Mathematics, Computer ScienceMultiscale Model. Simul.
- 2007

This article constructs a hybrid model by spatially coupling a lattice Boltzmann model (LBM) to a finite difference discretization of the partial differential equation (PDE) for reaction-diffusion systems and shows that the global spatial discretized error of the hybrid model is one order less accurate than the local error made at the interface.

### Coupled numerical approach combining finite volume and lattice Boltzmann methods for multi-scale multi-physicochemical processes

- PhysicsJ. Comput. Phys.
- 2013

### A Coupled Approach for Fluid Dynamic Problems Using the PDE Framework Peano

- Computer Science, Physics
- 2012

The new coupling strategy between the meso- and macroscopic solver is presented and validated in a 2D channel flow scenario and shows an improved stability of the coupled method compared to pure Lattice Boltzmann simulations.

### Steady-State Anderson Accelerated Coupling of Lattice Boltzmann and Navier-Stokes Solvers

- Computer Science, PhysicsComput.
- 2016

An Anderson acceleration-based approach to spatially couple three-dimensional Lattice Boltzmann and Navier–Stokes (LBNS) flow simulations yields a speed-up of up to 40% in the considered scenarios, compared to strictly sequential Schwarz coupling.

### On transient hybrid Lattice Boltzmann-Navier-Stokes flow simulations

- Computer ScienceJ. Comput. Sci.
- 2016

### Numerical Extraction of a Macroscopic PDE and a Lifting Operator from a Lattice Boltzmann Model

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- 2012

This paper proposes a lifting operator that alleviates several drawbacks of existing methods, and focuses on the computational expense and the analytical work that needs to be done.

### Multiscale Lattice Boltzmann Modeling of Phonon Transport in Crystalline Semiconductor Materials

- Physics
- 2010

A coupled lattice Boltzmann (LB)–finite-difference (FD) method is used to solve for the heat transport in a two-dimensional domain. The LB method is used to capture relevant phonon physics near a…

### Lattice-Boltzmann finite-difference model with optical phonons for nanoscale thermal conduction

- PhysicsComput. Math. Appl.
- 2010

### Navier–Stokes and Lattice–Boltzmann on octree‐like grids in the Peano framework

- Computer Science
- 2011

The Navier–Stokes equations (NS) and the Lattice–Boltzmann method (LBM) are the main two types of models used in computational fluid dynamics yielding similar results for certain classes of flow…

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