Modelling confined multi-material heat and mass flows using SPH

Cleary, Paul W.

doi:10.1016/s0307-904x(98)10031-8

Cited by 301 publications

(152 citation statements)

References 2 publications

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“…(13) involving the symmetrised viscosity represents the deviatory stress tensor divergence. Such an expression has been proposed by CLEARY (1998) and MONAGHAN (2005) and also accounts for the presence of spatial gradients in viscosity. It is possible to prove that eq.…”

Section: Main Equations (Continuity and Momentum)mentioning

confidence: 99%

SPH modeling of fast muddy debris flow: numerical and experimental comparison of certain commonly utilized approaches

Pasculli¹,

Minatti²,

Sciarra³

et al. 2013

IJG

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SPH (Smoothed Particle Hydrodynamics) is a particle, purely mesh-free Lagrangian method, proposed by different authors, well suited to the computing of highly transitory free surface flows of complex fluids in complex geometries. Different approaches have been proposed in order to better simulate the mutual interaction between particles and their interactions with boundaries.Therefore, the main target of this article is to discuss and explore the numerical performance of certain commonly utilized SPH approaches, based essentially on mass and momentum balances, in the simulation of a 2D fast mudflow in fast motion, composed of fluid and solid material, assumed to be just one equivalent phase (fluid-solid). The "Herschel-Bulkley", non Newtonian constitutive equations, describing a viscoplastic material suitable to reproduce the rheological behaviour of mudflows, has been selected. Hence, a laboratory experimental test, already proposed in literature and, after properly scaling, representative of a real fast flow phenomenon, was considered for comparison with numerical outcomes carried out by a research code that has already been tested and discussed in previous papers. A simple but effective statistical approach was developed and applied in order to identify and utilize a numerical index suitable for the quantitative measurement of the degree of matching between numerical results and measurement data affected by experimental errors. More than thirty numerical experiments were performed, of which the most significant eleven simulations are discussed. Satisfactory results were achieved. As outcomes, it was verified that, in particular for the selected experimental test, Rusanov flux addition within the continuity equation with the proper choice of both the viscosity term of momentum and the SPH boundary conditions, is suited to enhancing the performance of this type of numerical simulation of a fast flow.

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Section: Main Equations (Continuity and Momentum)mentioning

confidence: 99%

SPH modeling of fast muddy debris flow: numerical and experimental comparison of certain commonly utilized approaches

Pasculli¹,

Minatti²,

Sciarra³

et al. 2013

IJG

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“…When other approaches for reproducing shear stresses are taking in, e.g. (Cleary, 1998), then it is not necessary to employ the first term inside eq. (19).…”

Section: Sph-form Of Governing Equationsmentioning

confidence: 99%

Simulating Flows with SPH: Recent Developments and Applications

Viccione¹,

Bovolin²,

Carratelli³

2011

Hydrodynamics - Optimizing Methods and Tools

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“…It is easy to programme because the pressure is obtained from a sepárate equation of state (8) that is chosen so that the speed of sound is large enough to keep the relative density fiuctuations small [16]. As discussed by Lee et al [20], a truly incompressible approach gives more accurate valúes of the pressure than WCSPH.…”

Section: Navier-stokes Discrete Formulationmentioning

confidence: 99%

“…Three viscous terms: Takeda et al [6], Morris et al [7] and Monaghan-Cleary-Gingold's [8,9] representing important moments in the history of applications of SPH to viscous flows have being selected. They will be analysed in terms of their conservation properties, and their performance with canonical flows of which the viscosity related phenomena are well understood will be discussed.…”

Section: Introductionmentioning

confidence: 99%

WCSPH viscosity diffusion processes in vortex flows

Macià

Sánchez

Souto-Iglesias

et al. 2011

Numerical Methods in Fluids

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SUMMARYThe aim of this paper is to clarify the role played by the most commonly used viscous terms in simulating viscous laminar flows using the weakly compressible approach in the context of smooth particle hydrodynamics (WCSPH). To achieve this, Takeda et al. (Prog. Theor. Phys. 1994; 92(5):939-960), Morris et al. (J. Comput. Phys. 1997; 136:214-226) and Monaghan-Cleary-Gingold's (Appl. Math. Model. 1998; 22(12):981-993; Monthly Notices of the Royal Astronomical Society 2005; 365:199-213) viscous terms will be analysed, discussing their origins, structures and conservation properties. Their performance will be monitored with canonical flows of which related viscosity phenomena are well understood, and in which boundary effects are not relevant. Following the validation process of three previously published examples, two vortex flows of engineering importance have been studied. First, an isolated Lamb-Oseen vortex evolution where viscous effects are dominant and second, a pair of co-rotating vórtices in which viscous effects are combined with transport phenomena. The corresponding SPH solutions have been compared to finite-element numerical solutions. The SPH viscosity model's behaviour in modelling the viscosity related effects for these canonical flows is adequate.

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Modelling confined multi-material heat and mass flows using SPH

Cited by 301 publications

References 2 publications

SPH modeling of fast muddy debris flow: numerical and experimental comparison of certain commonly utilized approaches

SPH modeling of fast muddy debris flow: numerical and experimental comparison of certain commonly utilized approaches

Simulating Flows with SPH: Recent Developments and Applications

WCSPH viscosity diffusion processes in vortex flows

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