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In this work, within the framework of the continuous forcing immersed boundary method (IBM), a novel one-side diffuse-interface IBM is proposed for the simulation of compressible viscous flows around complex geometries, where the flow corrections ...

• One-side diffuse-interface immersed boundary method (IBM) for compressible flows is proposed.
• This novel IBM suppresses the non-physical pressure jump in the traditional continuous forcing IBM.
• The velocity, pressure and thermal ...

When simulating fluid-structure interaction (FSI) problems involving moving objects, the implicit inverse distance weighting-immersed boundary method (IDW-IBM) developed by Du et al. [1] has to construct a large square correlation matrix and ...

• A virtual body-fitted grid-based immersed boundary method (IBM) is proposed for simulation of thermal flows.
• The present IBM transmits the influence of the immersed boundary to the flow field via a virtual body-fitted grid.
• The ...

In this work, a virtual body-fitted grid-based immersed boundary method (IBM) combined with the thermal lattice Boltzmann flux solver (TLBFS) is proposed to efficiently simulate thermal flows with Dirichlet and Neumann boundary conditions. The ...

Multi-phase flows in the presence of complex solid geometries are encountered widely throughout industrial processes to intensify mass and heat transfer processes. The efficiency of these processes relies largely on the predominant fluid dynamics ...

• New contact angle model for front-tracking methods.
• Applicable to complex continuous and discrete solid geometries.
• Improved accuracy compared to state-of-the-art contact line models in VOF.
• Coupling between Immersed Boundary ...

In the present paper, a fluid-particle coupling method is directly derived from the Navier-Stokes equations (NSE) by applying the concept of volume-filtering, yielding a physically consistent methodology to incorporate solid wall boundary ...

• New immersed boundary method based on volume-filtering.
• Predict hydrodynamic forces on particles accurately with coarse fluid resolutions.
• Physical explanation of flow inside particles.
• Converges to large eddy simulation far ...

This paper presents further improvements to the immersed boundary method introduced in [1]. The proposed developments take place during the pre- and post-processing stages of the simulation workflow and aim to further increase the accuracy of the ...

• The use of adaptive and local modeling heights reduces the risk of applying the wall model outside its domain of validity.
• Including pressure gradient information into the wall model can significantly improve wall pressure prediction.

The Nodal Integral Method (NIM), which is a coarse grid numerical method, works quite efficiently on orthogonal grids. However, there are many challenges to the implementation of this method in the complex shaped domains due to its intricate ...

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We solve the incompressible Navier-Stokes equations using a lattice Green's function (LGF) approach, including immersed boundaries (IB) and adaptive mesh refinement (AMR), for external flows with one homogeneous direction (e.g. infinite cylinders ...

• Hybridization of the pseudo-spectral and finite volume methods.
• Novel numerical approach for solving the lattice Green's function (LGF).
• Parallelized direct solver approach for the immersed boundary (IB) forcing.
• Combining LGFs,...

The Shifted Boundary Method (SBM) belongs to the class of unfitted (or immersed, or embedded) finite element methods, and relies on reformulating the original boundary value problem over a surrogate (approximate) computational domain. The ...

• The Weighted Shifted Boundary Method (W-SBM) is extended to Stokes flow with moving boundaries.
• New no-slip conditions are developed, with optimal accuracy.
• Spurious pressure oscillations in time are drastically reduced by volume ...

Immersed boundary methods have seen an enormous increase in popularity over the past two decades, especially for problems involving complex moving/deforming boundaries. In most cases, the boundary conditions on the immersed body are enforced via ...

• Most fractional step implementations of IB methods do not explicitly enforce boundary conditions on the pressure.
• Lack of enforcement of boundary conditions to the pressure results to slip-errors on the body.
• The new formulation we ...

This paper introduces a new immersed boundary (IB) method for viscous incompressible flow, based on a Fourier spectral method for the fluid solver and on the nonuniform fast Fourier transform (NUFFT) algorithm for coupling the fluid with the ...

• The FSIB method is gridless and has exact translation invariance.
• A divergence-free interpolated velocity field that conserves volume.
• Equivalent to the use of a new ‘sinc’ kernel in the framework of IB method.
• Improved ...

In this paper we propose an improved three-dimensional immersed boundary method coupled with a finite-difference code to simulate self-propelled phoretic particles in viscous incompressible flows. We focus on the phenomenon of diffusiophoresis ...

• We correct immersed boundary terms through the addition of forces from previous time steps.
• The approach departs from traditional methods that rely solely on instantaneous forces, enhancing simulation accuracy.
• The study presents a ...

This study focuses on obtaining reliable hydrodynamic stresses on the surface of rigid bodies in the simulation of fluid-solid interactions using the diffuse-interface immersed boundary method (IBM). In order to obtain the pressure and velocity ...

In this work, the immersed boundary method with time filter and scalar auxiliary variable techniques is studied to solve the fluid–structure interaction problems. For the fluid flow, we first use the backward Euler differentiation formula in ...

We present and analyze a series of benchmark tests regarding the application of the immersed boundary (IB) method to viscoelastic flows through and around non-trivial, stationary geometries. The IB method is widely used to simulate biological ...

• The Immersed Boundary method is applied to viscoelastic flows around non-trivial, stationary geometries.
• Computational results are compared to previous numerical benchmarks and macrorheology experiments.
• Choices of relative ...

In this paper, a new hybrid numerical approach is presented that couples “ghost cell” based immersed boundary (IB) method with the finite volume lattice Boltzmann method (FVLBM). In the implementation process, the grid cells are classified into ...

The projection immersed boundary method calculates boundary forces (i.e., surface stresses) from velocity constraints without introducing additional timestep restrictions. However, the projection method generally fails to produce boundary forces ...

• Proposed a Tikhonov regularized projection immersed boundary method.
• Accurately computed body forces, eliminating spurious oscillations.
• Demonstrated convergence of body forces with test problems.
• Validated applicability to FSI ...

In this paper, we present an efficient and stable fractional-step 2D immersed boundary (IB) method for solving the interaction problems between bulk fluid and elastic interface, in particular, when the fluid inertia and the interfacial ...

• An efficient and stable fractional-step immersed boundary (IB) method is developed.

The problem of incompressible flow simulation around rigid bodies of arbitrary shape is considered. The LS-STAG immersed boundary method is used for its numerical solving. This method is based on the accurate discretization of the governing ...

In this study, we present a parallel immersed boundary strategy that uses Nitsche's method (noted NIB) to weakly impose on a given fluid the boundary conditions associated with a solid of arbitrary shape and motion. Specific details of ...

• An immersed boundary method is formulated and validated with experimental data.