PETSc Users Manual (Rev. 3.13)

Balay, Satish; Abhyankar, Shrirang; Adams, Mark F.; Brown, Jeremy; Brune, Peter; Buschelman, K.; Dalcín, Lisandro; Dener, Alp; Eijkhout, Victor; Gropp, William; Karpeyev, Dmitry; Kaushik, D.; Knepley, Matthew G.; May, Dave; McInnes, Lois Curfman; Mills, Richard; Munson, Todd; Rupp, Karl; Sanan, Patrick; Smith, Brian T.; Zampini, Stefano; Zhang, H.

doi:10.2172/1614847

Cited by 175 publications

(80 citation statements)

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“…All simulations reported on in this paper were performed using a first order Lagrange space over a simplicial, locally adaptive, distributed grid, which can be used for both bulk and surface domains [45]. Bindings for a number of different solver packages are available through DUNE-FEM including the iterative solvers from DUNE-ISTL [46] (used for this work), direct solvers from the SuiteSparse package [47], and a number of solvers and preconditioners from the PetSc package [48]. The simulation results were exported using VTK and visualized using ParaView [49].…”

Section: Methodsmentioning

confidence: 99%

A Finite Element Method for a Fourth Order Surface Equation With Application to the Onset of Cell Blebbing

Stinner

Dedner

Nixon

2020

Front. Appl. Math. Stat.

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Section: Methodsmentioning

confidence: 99%

A Finite Element Method for a Fourth Order Surface Equation With Application to the Onset of Cell Blebbing

Stinner

Dedner

Nixon

2020

Front. Appl. Math. Stat.

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“…The gradients required by the viscous fluxes and source terms are evaluated by means of a weighted least squares approach. The parallelization in the message passing interface environment is managed through the DMPlex class [53] provided by the PETSc library [54].…”

Section: Numerical Discretizationmentioning

confidence: 99%

Control of a Supersonic Inlet in Off-Design Conditions with Plasma Actuators and Bleed

Ferrero

2020

Aerospace

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Supersonic inlets are a key component of present and future air-breathing propulsion systems for high-speed flight. The inlet design is challenging because of several phenomena that must be taken under control: shock waves, boundary layer separation and unsteadiness. Furthermore, the intensity of these phenomena is strongly influenced by the working conditions and so active control systems can be particularly useful in off-design conditions. In this work, a mixed compression supersonic inlet with a double wedge ramp is considered. The flow field was numerically investigated at different values of Mach number. The simulations show that large separations appear at the higher Mach numbers on both the upper and lower walls of the duct. In order to improve the performances of the inlet two different control strategies were investigated: plasma actuators and bleed. Different locations of the plasma actuator are considered in order to also apply this technology to configurations with a diverter which prevents boundary layer ingestion. The potential of the proposed solutions is investigated in terms of total pressure recovery, flow distortion and power consumption.

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“…The solution of the linear systems arising from the FEM discretization of the coupled velocity-pressure system is carried out taking advantage of PETSc, the Portable, Extensible Toolkit for Scientific Computation [63]. This step is key to the overall efficiency and viability of the method as an appropriate candidate to tackle Newtonian and non-Newtonian multiphase flows in which large density and viscosity ratios are involved, as those taking place in experiments dealing with drop and bubble deformation.…”

Section: Petsc-based Solvermentioning

confidence: 99%

Viscoelastic Effects on Drop Deformation Using a Machine Learning-Enhanced, Finite Element method

Prieto

2020

Polymers

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This paper presents a numerical study of the viscoelastic effects on drop deformation under two configurations of interest: steady shear flow and complex flow under gravitational effects. We use a finite element method along with Brownian dynamics simulation techniques that avoid the use of closed-form, constitutive equations for the “micro-”scale, studying the viscoelastic effects on drop deformation using an interface capturing technique. The method can be enhanced with a variance-reduced approach to the stochastic modeling, along with machine learning techniques to reconstruct the shape of the polymer stress tensor in complex problems where deformations can be dramatic. The results highlight the effects of viscoelasticity on shape, the polymer stress tensor, and flow streamlines under the analyzed configurations.

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PETSc Users Manual (Rev. 3.13)

Abstract: Portions of this document may be illegible in electronic image products. Images are produced from the best available original document.

Cited by 175 publications

References 0 publications

A Finite Element Method for a Fourth Order Surface Equation With Application to the Onset of Cell Blebbing

A Finite Element Method for a Fourth Order Surface Equation With Application to the Onset of Cell Blebbing

Control of a Supersonic Inlet in Off-Design Conditions with Plasma Actuators and Bleed

Viscoelastic Effects on Drop Deformation Using a Machine Learning-Enhanced, Finite Element method

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