Results 71 to 80 of about 102,961 (219)
ABSTRACT A reduced‐order model (ROM) for the temperature field based on time‐space proper orthogonal decomposition (POD) is presented to improve the computational efficiency of transient temperature rise in oil‐immersed power transformers with a complete oil natural convection cooling loop.
Haijuan Lan +5 more
wiley +1 more source
We consider a poro-elastic region embedded into an elastic non-porous region. The elastic displacement equations are discretized by a continuous Galerkin scheme, while the flow equations for the pressure in the poro-elastic medium are discretized by ...
Girault Vivette +3 more
doaj +1 more source
Generalized Multiscale Finite Element Method for Elasticity Equations
In this paper, we discuss the application of Generalized Multiscale Finite Element Method (GMsFEM) to elasticity equation in heterogeneous media. Our applications are motivated by elastic wave propagation in subsurface where the subsurface properties can
Chung, Eric T. +2 more
core +1 more source
Volume Quantization with Flexible Singularities for Hexahedral Meshing
Abstract We present a novel algorithm for quantization and subsequent hexahedral mesh generation from seamless volumetric maps. Quantization is the process of choosing integers that represent the numbers of hexahedral elements to be placed in each region of the volume, and transforming the seamless map into an integer‐grid map matching that choice ...
H. Brückler, M. Campen
wiley +1 more source
The research adopts the Galerkin and Petrov–Galerkin spectral methods to analyze the effects of implicit–explicit Runge–Kutta (IMEX RK) time schemes on the stability, accuracy, precision, and efficiency of computations when used in numerical simulations ...
Anna Piterskaya, Mikael Mortensen
doaj +1 more source
Spectral Approximation of an Oldroyd Liquid Draining down a Porous Vertical Surface
Consideration is given to the free drainage of an Oldroyd four-constant liquid from a vertical porous surface. The governing systems of quasilinear partial differential equations are solved by the Fourier-Galerkin spectral method.
F. Talay Akyildiz +2 more
doaj +1 more source
Leaky Sewers Hydraulically Disconnect from Groundwater: A Proof‐of‐Concept
In this study, we newly demonstrate that leaky pipes can become hydraulically disconnected from the underlying groundwater—a phenomenon analogous to river–groundwater interactions. Through numerical modeling, we show that, as the groundwater table declines, the leakage flux from the pipe (in absolute terms) initially increases until a critical depth ...
Aaron Peche +5 more
wiley +1 more source
ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley +1 more source
hp-version interior penalty DGFEMs for the biharmonic equation [PDF]
We construct hp-version interior penalty discontinuous Galerkin finite element methods (DGFEMs) for the biharmonic equation, including symmetric and nonsymmetric interior penalty discontinuous Galerkin methods and their combinations: semisymmetric ...
Mozolevski, Igor, Suli, Endre
core +1 more source
Role of Unsaturated Zone on Aquifer Leakage–Assessed With Tidal Response
Abstract Tidal response analysis is widely used to evaluate aquifer systems, but traditional models that neglect the unsaturated zone often underestimate groundwater leakage. This study develops a new analytical model for tidal analysis that incorporates unsaturated zone effects and explained leakage patterns that traditional models could not resolve ...
Guoliang Wang +4 more
wiley +1 more source

