Search Results - "Kuberry, Paul"
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1
Compatible meshfree discretization of surface PDEs
Published in Computational particle mechanics (01-03-2020)“…Meshfree discretization of surface partial differential equations is appealing, due to their ability to naturally adapt to deforming motion of the underlying…”
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2
Metrics for Intercomparison of Remapping Algorithms (MIRA) protocol applied to Earth system models
Published in Geoscientific Model Development (02-09-2022)“…Strongly coupled nonlinear phenomena such as those described by Earth system models (ESMs) are composed of multiple component models with independent mesh…”
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3
Interface Flux Recovery coupling method for the ocean–atmosphere system
Published in Results in applied mathematics (01-11-2020)“…Component coupling is a crucial part of climate models, such as DOE’s E3SM (Caldwell et al., 2019). A common coupling strategy in climate models is for their…”
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4
A decoupling algorithm for fluid-structure interaction problems based on optimization
Published in Computer methods in applied mechanics and engineering (01-12-2013)“…Simulating fluid-structure interactions is challenging due to the tight coupling between the fluid and solid substructures. Explicit and implicit decoupling…”
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5
Dynamic flux surrogate-based partitioned methods for interface problems
Published in Computer methods in applied mechanics and engineering (01-09-2024)“…Loosely coupled partitioned methods for multiphysics problems treat each subproblem as a separate entity and advance them independently in time. In so doing…”
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6
A conservative discontinuous-Galerkin-in-time (DGiT) multirate time integration framework for interface-coupled problems with applications to solid–solid interaction and air–sea models
Published in Computer methods in applied mechanics and engineering (01-06-2024)“…In this paper we extend the DGiT multirate framework, developed in Connors and Sockwell (2022) for scalar transmission problems, to a solid–solid interaction…”
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7
A conservative discontinuous-Galerkin-in-time (DGiT) multirate time integration framework for interface-coupled problems with applications to solid–solid interaction and air–sea models
Published in Computer methods in applied mechanics and engineering (16-04-2024)“…In this paper we extend the DGiT multirate framework, developed in Connors and Sockwell (2022) for scalar transmission problems, to a solid–solid interaction…”
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8
Convergence of a fluid–structure interaction problem decoupled by a Neumann control over a single time step
Published in Journal of mathematical analysis and applications (01-05-2016)“…Building off of previous analytical results for recasting fluid–structure interaction into an optimal control setting, an a priori error estimate is given for…”
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9
Explicit synchronous partitioned scheme for coupled reduced order models based on composite reduced bases
Published in Computer methods in applied mechanics and engineering (15-12-2023)“…This paper formulates, analyzes and demonstrates numerically a method for the explicit partitioned solution of coupled interface problems involving…”
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10
Generalized moving least squares vs. radial basis function finite difference methods for approximating surface derivatives
Published in Computers & mathematics with applications (1987) (01-10-2023)“…Approximating differential operators defined on two-dimensional surfaces is an important problem that arises in many areas of science and engineering. Over the…”
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11
Interface flux recovery framework for constructing partitioned heterogeneous time‐integration methods
Published in Numerical methods for partial differential equations (01-09-2023)“…A common approach for the development of partitioned schemes employing different time integrators on different subdomains is to lag the coupling terms in time…”
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12
Interface flux recovery framework for constructing partitioned heterogeneous time-integration methods
Published in Numerical methods for partial differential equations (15-03-2023)“…Abstract A common approach for the development of partitioned schemes employing different time integrators on different subdomains is to lag the coupling terms…”
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13
Modeling and simulation of Ultrasonic Guided Waves propagation in the fluid-structure domain by a monolithic approach
Published in Journal of fluids and structures (01-07-2019)“…The present study introduces the coupled multiphysics model as part of the structural health monitoring (SHM) system. In particular, the Ultrasonic Guided…”
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14
Modeling concept and numerical simulation of ultrasonic wave propagation in a moving fluid-structure domain based on a monolithic approach
Published in Applied Mathematical Modelling (01-11-2019)“…In the present study, we propose a novel multiphysics model that merges two time-dependent problems – the Fluid-Structure Interaction (FSI) and the ultrasonic…”
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15
Numerical approximation of the Voigt regularization for incompressible Navier–Stokes and magnetohydrodynamic flows
Published in Computers & mathematics with applications (1987) (01-10-2012)“…We study Voigt regularizations for the Navier–Stokes equations (NSEs) and magnetohydrodynamic (MHD) equations in the presence of physical boundary conditions…”
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16
Some new analysis results for a class of interface problems
Published in Mathematical methods in the applied sciences (01-12-2015)“…Interface problems modeled by differential equations have many applications in mathematical biology, fluid mechanics, material sciences, and many other areas…”
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17
An optimization-based coupling of reduced order models with efficient reduced adjoint basis generation approach
Published 26-08-2024“…Optimization-based coupling (OBC) is an attractive alternative to traditional Lagrange multiplier approaches in multiple modeling and simulation contexts…”
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18
Dynamic flux surrogate-based partitioned methods for interface problems
Published 05-02-2024“…Partitioned methods for coupled problems rely on data transfers between subdomains to synchronize the subdomain equations and enable their independent…”
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19
An Optimization-Based Approach to Decoupling Fluid-Structure Interaction
Published 01-01-2015“…Fluid-structure interaction (FSI) is ubiquitous in both manufacturing and nature. At the same time, models describing this phenomenon are highly sensitive and…”
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Dissertation -
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Explicit synchronous partitioned scheme for coupled reduced order models based on composite reduced bases
Published 08-06-2023“…This paper formulates, analyzes, and demonstrates numerically a method for the partitioned solution of coupled interface problems involving combinations of…”
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Journal Article