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Showing 1 to 20 of 28 for “"Moving Mesh"”.
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Moving mesh methods for solving parabolic partial differential equations
… partial differential equations with fixed or moving boundaries, using a moving mesh with continuous finite elements. The evolution of the mesh within the interior of the spatial domain is based upon conserving the distribution of a chosen monitor function across the domain throughout time, …
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A moving mesh method for non-isothermal multiphase flows
… The interface is represented explicitly by mesh lines, and is tracked by an adaptive moving unstructured mesh. The $P2-P1d$ finite element method (FEM) is used for discretisation and the incompressible Navier-Stokes equations are solved by the uzawa method. Firstly, a thorough study is …
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Moving Mesh Finite Element Method for Time Dependent Convection-Diffusion Problems
The moving mesh finite element method (MM-FEM) has been a significant force in numerically approximating solutions to differential equations that otherwise exhibit spurious, artificial oscillations. This is especially true for singularly perturbed convection-diffusion problems. In the presence of …
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Efficient moving mesh methods for Q-tensor models of liquid crystals
… of liquid crystals.;The adaptive non-uniform mesh is generated by equidistribution of a selection of strictly positive monitor functions. By an appropriate selection of the monitor function parameters, it is shown that the computed numerical solution converges at an optimal rate with respect …
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Implementation of two-dimensional time accurate flow simulation on moving mesh exploiting mesh rupturing
A two-dimensional dynamic moving mesh algorithm is implemented for simulating aerodynamic oscillating airfoils. The airfoil is inserted into a uniform unstructured background mesh by exploiting an new technique named mesh rupturing, which allows for significant geometry movement without grid …
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A Mixed Eulerian-Lagrangian Model for the Analysis of Dynamic Fracture (Finite Element Method, Moving Mesh, Virtual Energy Release Rate)
This study is concerned with the development of continuum formulations for the analysis of static and dynamic brittle fracture problems based on a mixed Eulerian-Lagrangian kinematic model. Effective finite element computational methods based on the continuum formulations are also described.
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Flow Analysis of Vibration Modes in Turbocharger Turbines
… (ST-VMS) method. The ST-VMS serves as a moving mesh method. That enables mesh-resolution control near the rotor surfaces and high-resolution boundary-layer representation. The core method is complemented with the “ST-SI-IGA,” which is the synthesis of the ST Slip Interface (ST-SI) method …
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A discontinuous Galerkin spectral element method compressible flow solver
… solvers, effective stabilization techniques, and moving-mesh capabilities. Novel nonlinear filter-based artificial viscosity methods have been developed for effective regularization of challenging scalar transport problems in high-order methods and have found application in shock-capturing for the …
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A Parallel Boundary Conforming Method on Adaptive Moving Meshes for Multiphase Flows
… two-dimensional incompressible flows on adaptive moving unstructured meshes. The proposed method is especially helpful for studying immiscible multiphase flow problems as the interfaces are represented explicitly by mesh lines, and the grids are able to conform the movements of the interfaces. The …
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Numerically modeling the evolution of dust grains in galaxy formation simulations
… and supernova-driven destruction. Using the moving-mesh hydrodynamics code arepo, I perform cosmological zoom-in simulations of Milky Way-sized galaxies to study the evolution of interstellar dust. Predictions from this model compare favorably to a number of observed low-redshift dust scaling …
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Tensorial elastodynamics and acoustodynamics for generalized seismic migration and inversion applications
… and imaging applications assume Cartesian meshes, which face significant challenges in obtaining stable and accurate numerical wave-equation solutions due to difficulties in representing curvilinear geological interfaces. Many difficulties associated with curvilinear solution geometries can …
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An Investigation of the Dynamic Effects of Flap Deflection on the Aerodynamic Characteristics of an Airplane Wing Using Computational Fluid Dynamics
… For this study, a plain flap was modeled with a moving mesh and was attached to a NACA 0012 airfoil and a wing of a general aviation aircraft for a 2D and 3D investigation, respectively. In addition, the flap deflection rates were varied to investigate their effect on the flow field and the …
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Internal tides near steep topographies
… low-aspect ratio topographies, the z-coordinate mesh in the 2DFV code produces numerical artifacts near the bathymetry. To ameliorate these stair-casing effects, and to develop the framework towards a moving mesh with free-surface dynamics, we have begun to implement a non-hydrostatic …
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Magnetostatic Modeling for Microfluidic Device Design
… beneath a permanent magnet by coupling the Moving Mesh Arbitrary Lagrange-Eulerian (ALE), Incompressible Navier-Stokes, Plane Strain, and Magnetostatics physics modes. The second model, which will be referred to as the Mixture Model, simulates the bulk flow of a superparamagnetic particle …
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Modeling, analysis and numerical simulation of reactive solute transport problems in moving domains
… adsorption-desorption equation in moving domains. First, we present the mathematical formulation of the model in the arbitrary Lagrangian-Eulerian (ALE) framework. We study the well-posedness of the model.We then discretize the conservative variational form of the problem in the ALE …
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Computational and Experimental Study on Vertical Axis Wind Turbine in Search for an Efficient Design
… with five different VAWT designed models. Moving mesh and fluid flow simulation have been developed in CFD software FLUENT. The findings of these numerical simulations provided pressure contour, velocity contour, drag coefficient, lift coefficient, torque coefficient and power coefficient …
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Analysis of complex flows in safety valves using CFD
… was developed to enable the use of a dynamic moving mesh to capture each PRV’s operational characteristics. The experimental facilities developed for both PRV’s allowed a validation of the CFD model’s prediction for overpressure, blowdown and overall dynamic characteristics (disc lift vs …
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Pseudospectral methods in quantum and statistical mechanics
… The implicit transformation is also used as a moving mesh method for the time-dependent Smoluchowski equation when a function with localized behaviour is used as the initial condition.
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Mathematical methods for the modelling of cell migration and chemotaxis
… focus on reaction-diffusion based models on moving domains. This thesis focuses building on the previous model of cell migration and chemotaxis introduced by Neilson et al [105]. It does this by introducing new and discussing existing numerical methods in a cell migration and chemotaxis …
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Computation of the rise or fall of a drop through a suspending liquid with no mass transfer: Axisymmetric, transitional and complex regimes
… we use an Arbitrary Lagrangian-Eulerian (ALE) moving-mesh approach to investigate this using four test problems for which analytic solutions are available. An interface-fitted technique based on a stabilized Galerkin finite-element method is applied to the four test problems. We investigate …
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