Search Results - Spectral methods applied to problems in fluid mechanics

On Error-Based Step Size Control for Discontinuous Galerkin Methods for Compressible Fluid Dynamics: On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics

Authors: Ranocha, Hendrik Winters, Andrew R. Castro, Hugo Guillermo et al.

Contributors: Ranocha, Hendrik Winters, Andrew R. Castro, Hugo Guillermo et al.

Source: Communications on applied mathematics and computation : CAMC 7(1), 3-39 (2023). doi:10.1007/s42967-023-00264-y

Subject Terms: ADAPTIVITY IN SPACE AND TIME, Spectral methods applied to problems in fluid mechanics, Beräkningsmatematik, FOS: Physical sciences, 01 natural sciences, COMPRESSIBLE FLUID DYNAMICS, Explicit Runge-Kutta (RK) methods, Step size control, Compressible fluid dynamics, Adaptivity in space and time, Shock capturing, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, compressible fluid dynamics, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, SHOCK CAPTURING, ddc:510, Method of lines for initial value and initial-boundary value problems involving PDEs, shock capturing, STEP SIZE CONTROL, Initial-boundary value problems for first-order hyperbolic systems, Numerical Analysis (math.NA), Computational Physics (physics.comp-ph), EXPLICIT RUNGE-KUTTA (RK) METHODS, step size control, 65L06, 65M20, 65M70, 76M10, 76M22, 76N99, 35L50, Computational Mathematics, explicit Runge-Kutta (RK) methods, Compressible fluids and gas dynamics, adaptivity in space and time, Physics - Computational Physics, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Finite element methods applied to problems in fluid mechanics

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2209.07037
https://zbmath.org/7996399
https://doi.org/10.1007/s42967-023-00264-y
https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-1137215
https://opus.bibliothek.uni-augsburg.de/opus4/files/113721/113721.pdf
https://doi.org/10.1007/s42967-023-00264-y
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/113721
http://hdl.handle.net/11336/213686
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-194018
http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-161080
https://elib.uni-stuttgart.de/handle/11682/16108
https://doi.org/10.18419/opus-16089
https://publications.rwth-aachen.de/record/962377

Spatial Optimal Disturbances of Three-Dimensional Aerodynamic Boundary Layers: Spatial optimal disturbances of three-dimensional aerodynamic boundary layers

Authors: Boiko, A. V. Demyanko, K. V. Kusnetsova, S. A. et al.

Source: Computational Mathematics and Mathematical Physics. 65:138-150

Subject Terms: Spectral methods applied to problems in fluid mechanics, collocation method, Boundary-layer theory for compressible fluids and gas dynamics, Stability and instability of nonparallel flows in hydrodynamic stability, swept wing, prolate spheroid, stability, compressible boundary layer, spectral projection, Parallel shear flows in hydrodynamic stability, bypass transition

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Mathematics of internal waves in a two-dimensional aquarium

Authors: Dyatlov, Semyon Wang, Jian Zworski, Maciej

Source: Analysis & PDE. 18:1-92

Subject Terms: attractor, Internal waves for incompressible inviscid fluids, Spectral methods applied to problems in fluid mechanics, Asymptotic behavior of solutions to PDEs, limiting absorption, internal wave, PDEs in connection with fluid mechanics, stratified fluid

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Access URL: https://zbmath.org/7962295
https://doi.org/10.2140/apde.2025.18.1

FLUID INJECTION IN A POROUS MEDIUM: THE RADIAL SAFFMAN–TAYLOR INSTABILITY: Fluid injection in a porous medium: the radial Saffman-Taylor instability

Authors: SIENNA E. COOK LARRY K. FORBES STEPHEN J. WALTERS

Source: The ANZIAM Journal. 65:347-383

Subject Terms: Spectral methods applied to problems in fluid mechanics, narrow diffuse interfacial model, Flows in porous media, filtration, seepage, radial outflow, 0103 physical sciences, spectral method, Nonlinear effects in hydrodynamic stability, 01 natural sciences, linearized stability analysis, Interfacial stability and instability in hydrodynamic stability, viscous fingering, unstable interface, nonlinear numerical analysis

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Access URL: https://zbmath.org/7865870
https://doi.org/10.1017/s144618112400004x

Unconditional error estimate of linearly-implicit and energy-preserving schemes for nonlocal wave equations

Authors: Li, Lingling Fu, Yayun

Source: Computers & Mathematics with Applications. 176:492-509

Subject Terms: GSAV method, Spectral methods applied to problems in fluid mechanics, nonlocal wave equation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Wave equation, energy-preserving, error estimate, unique solvability, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Fractional partial differential equations, Numerical methods for discrete and fast Fourier transforms

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Access URL: https://zbmath.org/7967267
https://doi.org/10.1016/j.camwa.2024.11.002

Time discretization for modeling migration of groundwater contaminant in the presence of micro-organisms via a semi-analytic method

Authors: Farzaneh Safari Tong Qingshan Wen Chen

Source: Computers & Mathematics with Applications. 151:397-407

Subject Terms: groundwater viscosity, Spectral methods applied to problems in fluid mechanics, Fractional derivatives and integrals, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Numerical radial basis function approximation, numerical scheme, Nonlinear parabolic equations, Spectral, collocation and related methods for boundary value problems involving PDEs, Fractional partial differential equations, nonlinear parabolic PDE, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, time discretization

File Description: application/xml

Access URL: https://zbmath.org/7783949
https://doi.org/10.1016/j.camwa.2023.10.014

Linear stability analysis of wake vortices by a spectral method using mapped Legendre functions

Authors: Sangjoon Lee Philip S. Marcus

Source: Journal of Fluid Mechanics. 967

Subject Terms: Spectral methods applied to problems in fluid mechanics, Fluids & Plasmas, linearised eigenvalue problem, incompressible Euler/Navier-Stokes equations, Fluid Dynamics (physics.flu-dyn), viscous critical-layer spectrum, FOS: Physical sciences, Physics - Fluid Dynamics, Vortex flows for incompressible inviscid fluids, Computational Physics (physics.comp-ph), 01 natural sciences, wakes, Mathematical Sciences, vortex instability, computational methods, Engineering, physics.flu-dyn, physics.comp-ph, Galerkin basis function, 0103 physical sciences, Stability and instability of nonparallel flows in hydrodynamic stability, Viscous vortex flows, Physics - Computational Physics

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Access URL: http://arxiv.org/abs/2209.00295
https://zbmath.org/7712869
https://doi.org/10.1017/jfm.2023.455
https://escholarship.org/uc/item/10b2f82d
https://escholarship.org/uc/item/2wc8w3kk

Rayleigh–Taylor Flow with Two Interfaces: The Completed Boussinesq Approximation: Rayleigh-Taylor flow with two interfaces: the completed Boussinesq approximation

Authors: Lawrence K. Forbes Stephen J. Walters Ross J. Turner

Source: Water Waves. 6:49-78

Subject Terms: Stratification effects in inviscid fluids, sinuous/varicose mode, semi-numerical spectral method, Spectral methods applied to problems in fluid mechanics, inversion layer, Stratification effects in viscous fluids, 0103 physical sciences, Navier-Stokes equations, interfacial wave, 01 natural sciences, linearized inviscid problem, Interfacial stability and instability in hydrodynamic stability

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Access URL: https://zbmath.org/7866605
https://doi.org/10.1007/s42286-023-00079-7

Direct Multidomain Spectral Method for the Computation of Various Fluid Dynamic Problems: Direct multidomain spectral method for the computation of various fluid dynamic problems

Authors: Patrick Bontoux I. Raspo

Source: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 79:33-36

Subject Terms: domain decomposition, Spectral methods applied to problems in fluid mechanics, Stokes problem, 0203 mechanical engineering, influence matrix technique, rotating channel-cavity systems, 0103 physical sciences, direct method, singular solution, 02 engineering and technology, 01 natural sciences, Stokes and related (Oseen, etc.) flows

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Access URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/zamm.19990791309
https://ui.adsabs.harvard.edu/abs/1999ZaMM...79S..33R/abstract

A recursive neural-network-based subgrid-scale model for large eddy simulation: application to homogeneous isotropic turbulence

Authors: Chonghyuk Cho Jonghwan Park Haecheon Choi

Source: Journal of Fluid Mechanics. 1000

Subject Terms: Spectral methods applied to problems in fluid mechanics, pseudo-spectral spatial discretization, Navier-Stokes equations for incompressible viscous fluids, Direct numerical and large eddy simulation of turbulence, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, 02 engineering and technology, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, Isotropic turbulence, homogeneous turbulence, incompressible Navier-Stokes equations, 0103 physical sciences, finite difference temporal discretization, high-Reynolds-number turbulent flow, 0210 nano-technology, Artificial neural networks and deep learning

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Access URL: http://arxiv.org/abs/2312.15143

On a symmetry-preserving unconditionally stable projection method on collocated unstructured grids for incompressible flows

Authors: Santos Serrano, Daniel Hopman, Johannes Arend Pérez Segarra, Carlos David et al.

Contributors: Santos Serrano, Daniel Hopman, Johannes Arend Pérez Segarra, Carlos David et al.

Source: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Subject Terms: Àrees temàtiques de la UPC::Física::Termodinàmica, Spectral methods applied to problems in fluid mechanics, collocated, symmetry-preserving, unconditionally stable, energy-preserving, PISO, Finite volume methods applied to problems in fluid mechanics, Collocated, FVM, Unconditionally stable, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Energy-preserving, Symmetry-preserving, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

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Access URL: https://hdl.handle.net/2117/421153
https://doi.org/10.1016/j.jcp.2024.113631

A highly efficient asymptotic preserving IMEX method for the quantum BGK equation

Authors: Ruo Li Yixiao Lu Yanli Wang

Source: Journal of Computational Physics. 522:113619

Subject Terms: Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, quantum BGK equation, Spectral methods applied to problems in fluid mechanics, computation of polylogarithms, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs, Hermite spectral method, 01 natural sciences, AP IMEX scheme, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

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Access URL: http://arxiv.org/abs/2312.16585
https://zbmath.org/7986849
https://doi.org/10.1016/j.jcp.2024.113619

Conservative closures of the Vlasov-Poisson equations based on symmetrically weighted Hermite spectral expansion

Authors: Opal Issan Oleksandr Koshkarov Federico D. Halpern et al.

Source: Journal of Computational Physics. 524:113741

Subject Terms: Plasma Physics (physics.plasm-ph), Spectral methods applied to problems in fluid mechanics, spectral methods, Ionized gas flow in electromagnetic fields, plasmic flow, FOS: Physical sciences, conservation laws, Computational Physics (physics.comp-ph), fluid-kinetic closure, Physics - Computational Physics, Physics - Plasma Physics, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Vlasov-Poisson equations

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Access URL: http://arxiv.org/abs/2407.09626
https://zbmath.org/7996153
https://doi.org/10.1016/j.jcp.2025.113741

The nonlinear reactive transport model: An efficient approximation method based on quasilinearization and Bessel matrix method: The nonlinear reactive transport model: an efficient approximation method based on quasilinearization and Bessel matrix method

Authors: Izadi, Mohammad Srivastava, Hari Mohan Adel, Waleed

Source: Applied and Computational Mathematics.

Subject Terms: Numerical solution of boundary value problems involving ordinary differential equations, Bessel functions, Approximation by polynomials, Spectral methods applied to problems in fluid mechanics, collocation method, Nonlinear boundary value problems for ordinary differential equations, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, quasilinearization technique, convergence analysis, reactive transport model

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Comparison of spectral and finite element methods applied to the study of the core‐annular flow in an undulating tube: Comparison of spectral and finite element methods applied to the study of the core-annular flow in an undulating tube

Authors: Kouris, C. Dimakopoulos, Yannis Georgiou, Georgios C. et al.

Contributors: Kouris, C. Dimakopoulos, Yannis Georgiou, Georgios C. et al.

Source: International Journal for Numerical Methods in Fluids
Int.J.Numer.Methods Fluids

Subject Terms: Finite element method, Newtonian fluid, Spectral methods applied to problems in fluid mechanics, Navier-Stokes equations for incompressible viscous fluids, pseudo-spectral method, 01 natural sciences, Two-phase flow, mathematical method, Pseudo-spectral method, 0103 physical sciences, Interfaces (materials), Newtonian flow, Pipe flow, Eigenvalues and eigenfunctions, Undulating tube, Vortex flow, Two phase flow, Incompressible flow, Core-annular flow, Computer simulation, Galerkin methods, two-phase flow, undulating tube, immiscible fluids, core-annular flow, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2002IJNMF..39...41K/abstract
http://onlinelibrary.wiley.com/doi/10.1002/fld.279/abstract
http://gnosis.library.ucy.ac.cy/handle/7/57178

Non-intrusive reduced-order modeling for uncertainty quantification of space–time-dependent parameterized problems: Non-intrusive reduced-order modeling for uncertainty quantification of space-time-dependent parameterized problems

Authors: Xiang Sun Jung Il Choi

Source: Computers & Mathematics with Applications. 87:50-64

Subject Terms: polynomial chaos expansion, Spectral methods applied to problems in fluid mechanics, proper orthogonal decomposition, uncertainty quantification, Navier-Stokes equations for incompressible viscous fluids, Numerical methods for partial differential equations, boundary value problems, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, 01 natural sciences, Finite element methods applied to problems in fluid mechanics, reduced-order modeling

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Access URL: https://zbmath.org/7325134
https://doi.org/10.1016/j.camwa.2021.01.015
https://www.sciencedirect.com/science/article/pii/S0898122121000250
https://doi.org/10.1016/j.camwa.2021.01.015
https://dblp.uni-trier.de/db/journals/cma/cma87.html#SunC21
https://yonsei.pure.elsevier.com/en/publications/non-intrusive-reduced-order-modeling-for-uncertainty-quantificati

Convergence of the Generalized Volume Averaging Method on a Convection-Diffusion Problem: A Spectral Perspective: Convergence of the generalized volume averaging method on a convection-diffusion problem: A spectral perspective

Authors: Pierre, Charles Plouraboué, Franck Quintard, Michel et al.

Contributors: Pierre, Charles Plouraboué, Franck Quintard, Michel et al.

Source: SIAM Journal on Applied Mathematics. 66:122-152

Subject Terms: Spectral methods applied to problems in fluid mechanics, homogenization, Physique mathématique, convection-diffusion, 01 natural sciences, volume averaging, spectral methods, 0103 physical sciences, 0101 mathematics, Convection-diffusion, convection, Homogenization in optics and electromagnetic theory, diffusion, Hilbert space, spectral theory, Volume averaging, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Picard's successive approximation method, Variational formulation, Sturm--Liouville, Homogenization applied to problems in fluid mechanics, Mixed formulation, Sturm-Liouville, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs

File Description: application/pdf; application/xml

Access URL: https://hal.archives-ouvertes.fr/hal-00158286/file/SIAM_05_recomp.pdf
https://hal.science/hal-00158286v1
https://zbmath.org/2220475
https://doi.org/10.1137/040610015
https://dblp.uni-trier.de/db/journals/siamam/siamam66.html#PierrePQ05
https://www.jstor.org/stable/4096162
https://locus.siam.org/doi/abs/10.1137/040610015
https://oatao.univ-toulouse.fr/5482/4/plouraboue_5482.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1331759
https://oatao.univ-toulouse.fr/5482/
https://oatao.univ-toulouse.fr/5482/

Decoupled and energy stable schemes for phase-field surfactant model based on mobility operator splitting technique

Authors: Nan Lu Chenxi Wang Lun Zhang et al.

Source: Journal of Computational and Applied Mathematics. 459:116365

Subject Terms: Extrapolation to the limit, deferred corrections, energy stability, Spectral methods applied to problems in fluid mechanics, phase-field, surfactant, PDEs in connection with fluid mechanics, Finite difference methods applied to problems in fluid mechanics, Suspensions, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Capillarity (surface tension) for incompressible viscous fluids, Liquid-liquid two component flows, Spectral, collocation and related methods for boundary value problems involving PDEs, Thin fluid films, operator splitting, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

File Description: application/xml

Entropy stable hydrostatic reconstruction schemes for shallow water systems

Authors: Patrick Ersing Sven Goldberg Andrew R. Winters

Source: Journal of Computational Physics. 527:113802

Subject Terms: Hydrology, hydrography, oceanography, Spectral methods applied to problems in fluid mechanics, Beräkningsmatematik, entropy stability, positivity-preserving, discontinuous Galerkin method, First-order nonlinear hyperbolic equations, Positivity-preserving, wetting and drying, FOS: Mathematics, Mathematics - Numerical Analysis, multilayer shallow water equations, Method of lines for initial value and initial-boundary value problems involving PDEs, 65M12, 65M20, 65M70, 76M22, 35L60, 86A05, Multilayer shallow water equations, Numerical Analysis (math.NA), Entropy stability, 6. Clean water, Computational Mathematics, Discontinuous Galerkin method, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Wetting and drying, Well-balanced, First-order hyperbolic systems, well-balanced, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2406.14119
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-211521

A spectral-element/Fourier smoothed profile method for large-eddy simulations of complex VIV problems

Authors: Zhicheng Wang Michael S Triantafyllou Yiannis Constantinides et al.

Contributors: Zhicheng Wang Michael S Triantafyllou Yiannis Constantinides et al.

Source: Other repository

Subject Terms: 2. Zero hunger, hybrid discretization, Spectral methods applied to problems in fluid mechanics, LES, Navier-Stokes equations for incompressible viscous fluids, high-order methods, 0103 physical sciences, Direct numerical and large eddy simulation of turbulence, entropy-viscosity, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), industrial flows

File Description: application/xml; application/pdf

Access URL: https://dspace.mit.edu/bitstream/1721.1/135842/2/Triantafyllou_A%20spectral-element.pdf
https://zbmath.org/6914082
https://doi.org/10.1016/j.compfluid.2018.06.022
https://www.sciencedirect.com/science/article/pii/S0045793018303529
https://hdl.handle.net/1721.1/135842