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An Overview of Coupled Lagrangian–Eulerian Methods for Ocean Engineering
Combining the strengths of Lagrangian and Eulerian descriptions, the coupled Lagrangian–Eulerian methods play an increasingly important role in...
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An Eulerian–Eulerian–Lagrangian modeling of two-phase combustion
AbstractIn simulating two-phase combustion, most Reynolds-averaged Navier–Stokes (RANS) simulation and large-eddy simulation (LES) used...
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A new Lagrangian–Eulerian incompressible SPH method for simulating free surface flows
In this study, a novel and efficient Lagrangian–Eulerian approach is introduced in the context of incompressible smoothed particle hydrodynamics...
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Conditionally Eulerian–Lagrangian Method on the Example of the Problem on the Dynamics of an Intrathermocline Vortex Lens
AbstractA new conditionally Eulerian–Lagrangian numerical method is developed to solve a number of problems in which the object of study is...
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Rapid multi-material joining via flow drill screw process: experiment and FE analysis using the coupled Eulerian‒Lagrangian method
This paper is concerned with experiments and finite element (FE) simulations using the coupled Eulerian‒Lagrangian (CEL) method for multi-material...
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A Conservative Eulerian–Lagrangian Runge–Kutta Discontinuous Galerkin Method for Linear Hyperbolic System with Large Time Step**
We propose an Eulerian–Lagrangian (EL) Runge–Kutta (RK) discontinuous Galerkin (DG) method for a linear hyperbolic system. The method is designed...
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Numerical Simulation of Dispersed Phase Droplets Im**ement by a Hybrid Eulerian-Lagrangian Method
This chapter covers the basic theory underlying droplet tracking simulations, using the Eulerian and Lagrangian approaches. The equations of motion...
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Application of arbitrary Lagrangian–Eulerian unstructured finite volume lattice Boltzmann method to simulate compressible viscous flows over moving bodies
In this work, a central difference unstructured finite volume lattice Boltzmann method (FVLBM) in an arbitrary Lagrangian–Eulerian (ALE) framework is...
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A hybrid Eulerian–Lagrangian approach for non-self-similar expansion analysis of a cylindrical cavity in saturated and unsaturated critical state soils
This paper proposes a powerful hybrid Eulerian–Lagrangian (HEL) approach for the analysis of cavity expansion problems. The new approach is applied...
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Lagrange’s equations for seepage flow in porous media with a mixed Lagrangian-Eulerian description
Most conventional numerical models employ partial differential equations (PDEs) to describe seepage flow problems and use weighted residual and...
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Modelling the Flow Conditions and Primary Atomization of an Air-Core-Liquid-Ring (ACLR) Atomizer Using a Coupled Eulerian–Lagrangian Approach
The Air-Core-Liquid-Ring atomizer is a pioneering internal-mixing pneumatic atomization technique designed for energy-efficient spray drying of...
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Numerical Simulation of Dispersed Phase Droplets Im**ement by a Hybrid Eulerian-Lagrangian Method
This chapter covers the basic theory underlying droplet tracking simulations, using the Eulerian and Lagrangian approaches. The equations of motion...
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Evaluation of constitutive models used in orthogonal cutting simulation based on coupled Eulerian–Lagrangian formulation
The constitutive model and its material parameters largely determine the effectiveness and accuracy of the finite element (FE) simulation for metal...
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Eulerian–Lagrangian Numerical Simulation of Powder Bed Denudation and Spatter Behavior During Powder Bed Fusion Process
Powder bed fusion using a laser beam (PBF-LB) is rapidly develo** toward high laser power, high scanning speed, and multiple lasers; however,...
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A hybrid Lagrangian–Eulerian model for vector-borne diseases
In this paper, a multi-patch and multi-group vector-borne disease model is proposed to study the effects of host commuting (Lagrangian approach)...
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Rigid block characteristics on subaerial landslide-tsunamis using a 3D coupled Eulerian-Lagrangian model
To quantitatively reveal how rock blocks falling into water affect the impulse waves, the influence of a rigid block on induced first wave and second...
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Rope–sheave contact transient analysis in hoisting operations with a bristle model and an arbitrary Lagrangian–Eulerian approach
This paper describes the development of a computational model for the rope–sheave contact interaction in reeving systems when the ropes are modeled...
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Arbitrary Lagrangian–Eulerian (ALE) Method
Here, the examination of the FSW simulation by using the ALE method is presented. This method is one of the most important methods for modelling FSW.
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Comparison of the Eulerian and Lagrangian Approaches to Studying the Peculiarities of the Interstellar Dust Distribution in the Heliosphere in the Framework of the Cold Gas Model
AbstractInterstellar dust grains penetrate into the heliosphere (region in which the solar wind propagates) due to the relative motion of the Sun and...
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Lagrangian-Eulerian Approach for Nonlocal Conservation Laws
In this work, we construct and analyze a new fully discrete Lagrangian-Eulerian numerical method for the treatment of dynamics of conservation laws...
