TY - JOUR
T1 - PROTEUS: A Coupled Iterative Force-Correction Immersed-Boundary Multi-Domain Cascaded Lattice Boltzmann Solver
AU - Falagkaris, Emmanouil
AU - Ingram, David
AU - Viola, Ignazio Maria
AU - Markakis, Konstantinos
PY - 2017/11
Y1 - 2017/11
N2 - Most realistic fluid flow problems are characterised by high Reynolds numbers and complex boundaries. Over the last ten years, immersed boundary methods that are able to cope with realistic geometries have been applied to Lattice-Boltzmann (LB) methods. These methods, however, have normally been applied to low Reynolds number problems. Here we present a novel coupling between an iterative force-correction immersed boundary (Zhang et al., 2016) and a multi-domain cascaded LB method. The iterative force-correction immersed boundary method has been selected due to the improved accuracy of the computation, while the cascaded LB formulation is used due to its superior stability at high Reynolds numbers. The coupling is shown to improve both the stability and numerical accuracy of the solution. The resulting solver has been applied to viscous flow (up to a Reynolds number of 100000) passed a NACA-0012 airfoil at a 10 degree angle of attack. Good agreement with results obtained using a body- fitted Navier-Stokes solver has been obtained. The formulation provides a straight forward and e cient method for modelling realistic geometries and could easily be extended to problems with moving boundaries.
AB - Most realistic fluid flow problems are characterised by high Reynolds numbers and complex boundaries. Over the last ten years, immersed boundary methods that are able to cope with realistic geometries have been applied to Lattice-Boltzmann (LB) methods. These methods, however, have normally been applied to low Reynolds number problems. Here we present a novel coupling between an iterative force-correction immersed boundary (Zhang et al., 2016) and a multi-domain cascaded LB method. The iterative force-correction immersed boundary method has been selected due to the improved accuracy of the computation, while the cascaded LB formulation is used due to its superior stability at high Reynolds numbers. The coupling is shown to improve both the stability and numerical accuracy of the solution. The resulting solver has been applied to viscous flow (up to a Reynolds number of 100000) passed a NACA-0012 airfoil at a 10 degree angle of attack. Good agreement with results obtained using a body- fitted Navier-Stokes solver has been obtained. The formulation provides a straight forward and e cient method for modelling realistic geometries and could easily be extended to problems with moving boundaries.
UR - http://www.sciencedirect.com/science/article/pii/S0898122117304339
U2 - 10.1016/j.camwa.2017.07.016
DO - 10.1016/j.camwa.2017.07.016
M3 - Article
SN - 0898-1221
VL - 74
SP - 2348
EP - 2368
JO - Computers & mathematics with applications
JF - Computers & mathematics with applications
IS - 10
ER -