A wavelet‐based variational multiscale method for the LES of incompressible flows in a high‐order DG‐FEM framework
Sign Up to like & getrecommendations! Published in 2019 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.4784
Abstract: This work focuses upon the development of a wavelet‐based variant of the variational multiscale method (VMS) for accurate and efficient large eddy simulation (LES) called wavelet‐based VMS‐LES (WMS‐LES). This approach has been incorporated within the… read more here.
Keywords: wavelet based; method; multiscale method; high order ... See more keywords
A second-order finite element variational multiscale scheme for the fully discrete unsteady Navier–Stokes equations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-017-1135-y
Abstract: In this report, we present and study a fully discrete finite element variational multiscale scheme for the unsteady incompressible Navier–Stokes equations where high Reynolds numbers are allowed. The scheme uses conforming finite element pairs for… read more here.
Keywords: finite element; element variational; scheme; fully discrete ... See more keywords
Isogeometric divergence-conforming variational multiscale formulation of incompressible turbulent flows
Sign Up to like & getrecommendations! Published in 2017 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2016.10.015
Abstract: A new residual-based variational multiscale (RBVMS) formulation for incompressible turbulent flows is proposed that is suitable for discretization using divergence-conforming B-splines. The proposed methodology results in a pointwise satisfaction of the zero-divergence constraint on the… read more here.
Keywords: turbulent flows; formulation; divergence; incompressible turbulent ... See more keywords
On the robustness of variational multiscale error estimators for the forward propagation of uncertainty
Sign Up to like & getrecommendations! Published in 2018 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.07.041
Abstract: Abstract The numerical simulation of physical phenomena and engineering problems can be affected by numerical errors and various types of uncertainties. Characterizing the former in computational frameworks involving system parameter uncertainties becomes a key issue.… read more here.
Keywords: multiscale error; error; robustness variational; variational multiscale ... See more keywords
Variational multiscale closures for finite element discretizations using the Mori–Zwanzig approach
Sign Up to like & getrecommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.113152
Abstract: Abstract The simulation of multiscale problems remains a challenge in many problems due to the complex interaction between the resolved and unresolved scales. This work develops a coarse-grained modeling approach for Galerkin discretizations by combining… read more here.
Keywords: mori zwanzig; multiscale closures; approach; closures finite ... See more keywords
A variational multiscale framework for atmospheric turbulent flows over complex environmental terrains
Sign Up to like & getrecommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.113182
Abstract: Abstract A residual-based variational multi-scale (VMS) modeling framework is applied to simulate atmospheric flow over complex environmental terrains. The VMS framework is verified and validated using two test cases using linear finite element (FEM) and… read more here.
Keywords: framework; complex environmental; environmental terrains; variational multiscale ... See more keywords
Fusion of synthetic aperture radar and visible images based on variational multiscale image decomposition
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Applied Remote Sensing"
DOI: 10.1117/1.jrs.11.025006
Abstract: Abstract. Multisensor image fusion can be used as an advanced technique for image enhancement. We propose a synthetic aperture radar (SAR) and visible image fusion method under the framework of a variational multiscale image decomposition… read more here.
Keywords: image; aperture radar; variational multiscale; fusion ... See more keywords
A Discriminant Parameter Determining Technique in Variational Multiscale Method for Stokes Equations
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Computational Methods"
DOI: 10.1142/s0219876217500487
Abstract: A Goal-Oriented and Model-Constrained Optimization (GOMCO) approach was proposed as a discriminant technique for the Variational Geomano Method (VGM) in the coefficient determinations of variational multiscale Unresolved-Scale (URS) model in steady Stokes equations. Numerical implementations… read more here.
Keywords: discriminant parameter; stokes equations; method; variational multiscale ... See more keywords
A Hybrid Variational Multiscale Element-Free Galerkin Method for Convection-Diffusion Problems
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Applied Mechanics"
DOI: 10.1142/s1758825119500637
Abstract: By coupling the dimension splitting method (DSM) and the variational multiscale element-free Galerkin (VMEFG) method, a hybrid variational multiscale element-free Galerkin (HVMEFG) method is developed for the two-dimensional convection-diffusion problems. In the HVMEFG method, the… read more here.
Keywords: convection diffusion; diffusion problems; variational multiscale; method ... See more keywords
High-Order Variational Multiscale Model in Finite Elements Applied to the LEISA-2 Configuration
Sign Up to like & getrecommendations! Published in 2018 at "AIAA Journal"
DOI: 10.2514/1.j057090
Abstract: A variational multiscale sugbrid model including an explicit filtering is studied in the framework of an equal-order finite element formulation for solving compressible Navier–Stokes equations in e... read more here.
Keywords: multiscale; order variational; model; high order ... See more keywords
Variational multiscale method for the optimal control problems of convectio--diffusion-reaction equations
Sign Up to like & getrecommendations! Published in 2018 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-1606-111
Abstract: In this paper, we analyze a projection-based variational multiscale (VMS) method for the optimal control problems governed by the convection-diffusion-reaction equations. We derive the first-order optimality conditions by the \emph{optimize-then-discretize} method. After expressing the discrete… read more here.
Keywords: method optimal; method; variational multiscale; control problems ... See more keywords