The Immersed Boundary Method (IBM), originally developed by C.S. Peskin [Pes72], is a very practical method of simulating fluid-structure interactions. It combines Eulerian and Lagrangian descriptions of flow and moving elastic boundaries using Dirac delta functions. Incompressible Navier-Stokes and Elasticity theory can be unified by the same set of equations to get a combined model of the int...

In this paper, a hybrid of Local Domain Free Discretization and Immersed Boundary Method (termed as LDFD-IBM), is applied to simulate the incompressible flow over four circular cylinders in an in-line square configuration. LDFD-IBM belongs to the family of "Cartesian mesh methods", which means the complication of mesh generation is avoided for the problems with complex geometries. A Stencil Ada...

Adaptive Cartesian mesh methods have demonstrated unique abilities for automated mesh generation and dynamic mesh adaptation to flow solution and moving boundaries. However Navier-Stokes (NS) solvers with Cartesian mesh often produce large fluctuations of surface quantities (pressure, skin friction, and heat flux) at solid boundaries. We show that the Immersed Boundary Method (IBM) with adaptiv...

A projection-based immersed boundary method is dominated by sparse linear algebra routines. Using the open-source Cusp library, we observe a speedup (with respect to a single cpu core) which reflects the constraints of a bandwidth-dominated problem on the gpu. Nevertheless, gpus offer the capacity to solve large problems on commodity hardware. This work includes validation and a convergence stu...

In this paper, we present recent improvements of an Immersed Boundary Method (IBM) for the simulation turbulent compressible flows on Cartesian grids. The proposed approach enables to remove spurious oscillations at wall skin pressure and friction coefficients. Results are compared a body-fitted using same function, showing that stair-step immersed boundary provides smooth solution one. method ...

An immersed boundary method (IBM) is presented, that can be applied to inviscid compressible flows, described by the full-potential or Euler equations, to start with. Possible applications that we envisage are preliminary aircraft design and rotor-flow computations. Although Navier-Stokes methods have improved significantly in the last three decades, and although computations with the latter eq...

The objective of this paper is to present an overview of the newly proposed immersed continuum method in conjunction with the traditional treatment of fluidstructure interaction problems, the immersed boundary method, the extended immersed boundary method, the immersed finite element method, and the fictitious domain method. In particular, the key aspects of the immersed continuum method in com...

A boundary condition-enforced immersed boundary-lattice Boltzmann method (IB-LBM) for the simulation of particulate flows is presented in this paper. In general, the immersed boundary method (IBM) utilizes a discrete set of force density to represent the effect of boundary. In the conventional IB-LBM, such force density is pre-determined, which cannot guarantee exact satisfaction of non-slip bo...

Abstract The aim of the present numerical study is to show that recently developed Alternating Direction Reconstruction Immersed Boundary Method (ADR-IBM) (Giannenas and Laizet in Appl Math Model 99:606–627, 2021) can be used for Fluid–Structure Interaction (FSI) problems combined with an Actuator Line (ALM) a Computer-Aided Design (CAD) interface high-fidelity simulations fluid flow rotors geo...

In this paper, we develop an immersed boundary (IB) method to simulate the dynamics of inextensible vesicles interacting with an incompressible fluid. In order to take into account the inextensibility constraint of the vesicle, the penalty immersed boundary (pIB) method is used to virtually decouple the fluid and vesicle dynamics. As numerical tests of our current pIB method, the dynamics of si...