This paper studies the convergence properties of an arbitrary Lagrangian–Eulerian (ALE) Riemann-based SPH algorithm in conjunction with a Weighted Essentially Non-Oscillatory (WENO) high-order spatial reconstruction, framework DualSPHysics open-source code. A analysis is carried out for Lagrangian and Eulerian simulations numerical results demonstrate that, absence particle disorder, overall sc...

An important part of the Arbitrary Lagrangian-Eulerian method is the rezoning or mesh improvement step after completion of the Lagrangian step where the mesh is deformed according to the flow. A procedure is presented here to optimize the quality of elements in 3D solid meshes by node repositioning. The procedure aims to improve the quality of boundary mesh faces and interior mesh regions while...

The long term goal of this project is to advance the state of the art in mathematical methods for detecting key Lagrangian transport structures in velocity field data sets for spatially complex, timedependent, ocean surface flows. Such transport structures are typically not inherently obvious in snapshots of the Eulerian velocity field and require analysis methods with foundations in Lagrangian...

In the revised version, we emphasized new results from EOF analysis and Lagrangian approach. Following sentence is added in the abstract: “The EOF analysis indicated that these diurnal variations over the African continent seem to be closely related to continental-scale daytime solar heating and topography. On the other hand, advection effect on the diurnal variation appeared to be minor becaus...

Lagrangian symmetries and concomitant generalized Bianchi identities associated with the relabeling of fluid elements are found for hydrodynamics and magnetohydrodynamics (MHD). In hydrodynamics, relabeling results in Ertel's theorem of conservation of potential vorticity, while in MHD it yields the conservation of cross helicity. The symmetries of the reduction from Lagrangian (material) to Eu...

A confined convective flow is experimentally studied at different Rayleigh numbers. Particle Tracking Velocimetry (PTV) technique is used both to reconstruct Lagrangian trajectories and to evaluate Eulerian flow field. Dispersion properties of the flow are investigated by means of Lagrangian statistics on particle displacements. For each run of the experiment, single particle statistics have be...

We perform a systematic multiscale analysis for the 2-D incompressible Euler equation with rapidly oscillating initial data using a Lagrangian approach. The Lagrangian formulation enables us to capture the propagation of the multiscale solution in a natural way. By making an appropriate multiscale expansion in the vorticity-stream function formulation, we derive a well-posed homogenized equatio...

In this paper, nanofluid heat transfer in a microchannel has been studied using homogenous and Buongiorno’s models, compared with Eulerian-Lagrangian model. The base fluid is water the particles are Al2O3 Cu diameter of 100nm. volume fraction up to 2% Reynolds number range 250-1000. governing equations including continuity, momentum energy, have solved control method (SIMPLE). results show that...

[1] Fossil fuel combustion accounts for >50% of the global atmospheric emission of NOx, but this source is concentrated in the polluted continental boundary layer (CBL) and only a small fraction is exported as NOy (NOx and its oxidation products) to the global troposphere. Better quantification of this export efficiency is needed because of its implications for global tropospheric ozone. A rece...

Marine robots are playing important roles in environmental sensing andocean observation applications. This tutorial introduces the overall sys-tems architecture and patterns for data streams that enable autonomyfor marine robots in environmental sensing applications. The articleproposes the concept of cyber-maritime cycle and surveys its use as arecent development in marine ...