A numerical method for passive scalar and self-advection dynamics, Lagrangian rearrangement, is proposed. This fully Lagrangian advection algorithm introduces no artificial numerical dissipation or interpolation of parcel values. In the zero-viscosity limit, it preserves all of the Casimir invariants associated with parcel rearrangement. In the twodimensional case presented here, these invarian...

Arbitrary Lagrangian Eulerian methods are well suited to modelling high speed compressible multimaterial flow problems in complex geometry. In this talk three stage ALE schemes will be considered, which are typically used for practical calculations of multimaterial flows. These three stages are: a Lagrangian stage, in which the solution and the computational mesh are updated; a rezoning stage, ...

The immersed boundary (IB) method is a framework for modeling systems in which an elastic structure is immersed in a viscous incompressible fluid. The IB formulation of such problems describes the elasticity of the structure in Lagrangian form and describes the momentum, viscosity, and incompressibility of the fluid-structure system in Eulerian form. Interactions between Lagrangian and Eulerian...

The purpose of this paper is to ascertain the cost-eeectiveness of semi-Lagrangian advection schemes for a wide variety of geophysical ows at all scales. Our approach is rst, to determine the minimum computational overhead associated with these schemes and then, to examine temporal variability in the Lagrangian and Eulerian frames by employing simple turbulent cascade phenomenologies. The goal ...

The influence of Eulerian and Lagrangian scales on the turbulent relative dispersion is investigated through a three-dimensional Eulerian consistent Lagrangian stochastic model. As a general property of this class of models, it is found to depend solely on a parameter beta based on the Kolmogorov constants C(K) and C0. This parameter represents the ratio between the Lagrangian and Eulerian scal...

Modeling statistical properties of motion of a Lagrangian particle advected by a high-Reynolds-number flow is of much practical interest and complement traditional studies of turbulence made in Eulerian framework. The strong and nonlocal character of Lagrangian particle coupling due to pressure effects makes the main obstacle to derive turbulence statistics from the three-dimensional Navier-Sto...

Offshore pipelines used for oil and gas transportation are often buried to avoid damage from fishing activities and to provide thermal insulation. Thermal expansion and contraction of the pipeline during operation can lead to lateral or upheaval buckling. A safe buried pipeline design must take into account a reliable evaluation of soil uplift resistance and pipe embedment depth. While the cost...

This study presents an investigation of the capability smoothed particle hydrodynamics (SPH) to simulate three-dimensional isotropic turbulence. The effect error introduced by disorder is assessed comparing standard Lagrangian SPH with Eulerian adaptation. For free decay turbulence in a triple periodic box, shows very good agreement reference solution, while simulations yields incorrect predict...

Parcel Eulerian–Lagrangian Hamiltonian formulations have recently been used in structure-preserving numerical schemes, asymptotic calculations, and in alternative explanations of fluid parcel (in)stabilities. A parcel formulation describes the dynamics of one fluid parcel with a Lagrangian kinetic energy but an Eulerian potential evaluated at the parcel’s position. In this paper, we derive the ...

We investigate the effect of tracking errors on the accuracy and stability of Eulerian– Lagrangian methods (ELMS) for the solution of the transport equation. A combination of formal analysis and numerical experimentation demonstrates that the effect is severe. Even moderate tracking errors substantially affect the preservation of the zeroth, first and second moments of concentration (mass, phas...