Development of modifications to the material point method for the simulation of thin membranes, compressible fluids, and their interactions

York, Allen R.

doi:10.2172/537397

Cited by 15 publications

(12 citation statements)

References 34 publications

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“…The idea is similar to York's mass matrix method [17,18]. However, unlike the mass matrix method, interface data is interpolated directly from interface points to interface points, rather than from interface points to grid points, and then from grid points to interface points.…”

Section: The Indicator Functionmentioning

confidence: 99%

“…Such a capability allows one to redistribute or delete interfacial points on an interface without worrying about reconnecting points. For example, York [17,18] describes a mass matrix method, which he uses to compute normals from unordered points and to model air bag inflation in two dimensions. York embeds the surface in a grid and constructs a characteristic function by expanding in tensor products of B-splines about grid points.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The Point-Set Method: Front-Tracking without Connectivity

Torres¹,

Brackbill²

2000

Journal of Computational Physics

141

134

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Section: The Indicator Functionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Point-Set Method: Front-Tracking without Connectivity

Torres¹,

Brackbill²

2000

Journal of Computational Physics

141

134

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“…In the AeroElastic Material Point Method (AEMPM), the time derivatives were discretized using the backward Euler method and the spatial discretization was performed in a manner similar to typical finite-element methods using shape functions and the weak forms of the momentum and energy equations (see Bardenhagen and Kober 2000). The AEMPM algorithm also utilizes the Generalized Interpolation Material Point Method (GIMP) scheme outlined in Bardenhagen andKober 2000 (see York II, Sulsky, andSchreyer 2000;York II 1997;Love and Sulsky 2006;Schreyer, Sulsky, and Zhou 2002 for more details on the theory behind the MPM algorithm).…”

Section: Materials Point Methods Algorithmmentioning

confidence: 99%

Material point method of modelling and simulation of reacting flow of oxygen

Mason

Chen

2014

International Journal of Computational Fluid Dynamics

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Aerospace vehicles are continually being designed to sustain flight at higher speeds and higher altitudes than previously attainable. At hypersonic speeds, gases within a flow begin to chemically react and the fluid's physical properties are modified. It is desirable to model these effects within the Material Point Method (MPM). The MPM is a combined Eulerian-Lagrangian particle-based solver that calculates the physical properties of individual particles and uses a background grid for information storage and exchange. This study introduces chemically reacting flow modelling within the MPM numerical algorithm and illustrates a simple application using the AeroElastic Material Point Method (AEMPM) code. The governing equations of reacting flows are introduced and their direct application within an MPM code is discussed. A flow of 100% oxygen is illustrated and the results are compared with independently developed computational non-equilibrium algorithms. Observed trends agree well with results from an independently developed source.

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“…) is also adopted for the membrane element. Stability analysis for the membrane problem shows that this criterion is applicable . The time step Δ t is chosen to be less than the critical time step Δt e of each element e , Δ t = α Δ t e , whether membrane or solid element, with

normalΔ t_{e} = \frac{l_{e}}{c_{p}}

in which, l e is a characteristic length of the element e (for example, the shortest height of a triangle), c p is the speed of the elastic compression wave, and the factor α is kept below 1 to maintain stability and accuracy.…”

Section: Literature Reviewmentioning

confidence: 99%

Modelling of membranes in the material point method with applications

Hamad

Stolle

Vermeer

2014

Num Anal Meth Geomechanics

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SUMMARYThe objective of this paper is to formulate and validate an accurate MPM approach for the numerical simulation of the large displacement of membranes containing soil. In the proposed approach, the membrane is discretised by a surface mesh that allows accurate simulation of membrane stresses. The membrane is free to move through a three-dimensional grid for a continuum consisting of tetrahedral elements. The approach is applied to model a geocontainer being released from a split barge, taking into account the frictional contact between the geotextile and the barge. No-slip contact is assumed between the geotextile and the soil inside. The effect of geocontainer interaction is investigated by dropping a second container.

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Development of modifications to the material point method for the simulation of thin membranes, compressible fluids, and their interactions

Cited by 15 publications

References 34 publications

The Point-Set Method: Front-Tracking without Connectivity

The Point-Set Method: Front-Tracking without Connectivity

Material point method of modelling and simulation of reacting flow of oxygen

Modelling of membranes in the material point method with applications

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