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., Nechepurenko, Yu. M., Zasko, G. V.

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

File Description: application/xml

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

File Description: application/xml

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

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

File Description: application/xml

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

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

File Description: application/xml

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

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

File Description: application/xml

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

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

File Description: application/xml

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

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, Dalcin, Lisandro, Schlottke-Lakemper, Michael Alexander, Gassner, Gregor J., Parsani, Matteo

Contributors: Extreme Computing Research Center (ECRC), Computer Electrical and Mathematical Science and Engineering Division (CEMSE), King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia, Extreme Computing Research Center, Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division, Applied Mathematics and Computational Science Program, Physical Science and Engineering (PSE) Division

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

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

Authors: Nan Lu, Chenxi Wang, Lun Zhang, Zhen Zhang

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

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

Authors: Opal Issan, Oleksandr Koshkarov, Federico D. Halpern, Boris Kramer, Gian Luca Delzanno

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

File Description: application/xml

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

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, Trias Miquel, Francesc Xavier

Contributors: Universitat Politècnica de Catalunya. Centre Tecnològic de la Transferència de Calor, Universitat Politècnica de Catalunya. Doctorat en Enginyeria Tèrmica, Universitat Politècnica de Catalunya. Departament de Màquines i Motors Tèrmics, Universitat Politècnica de Catalunya. CTTC - Centre Tecnològic de Transferència de Calor

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

File Description: application/pdf; application/xml

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

File Description: application/xml

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

Accurate close interactions of Stokes spheres using lubrication-adapted image systems

Authors: Anna Broms, Alex H. Barnett, Anna-Karin Tornberg

Source: Journal of Computational Physics. 523:113636

Subject Terms: Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs, collocation, J.2, Spectral methods applied to problems in fluid mechanics, method of fundamental solutions, method of images, G.1.8, I.6.5, Stokes flow, Numerical Analysis (math.NA), elliptic PDE, PDEs in connection with fluid mechanics, 76D07 (Primary), 65N80, 65D99 (Secondary), Second-order elliptic systems, FOS: Mathematics, Spectral, collocation and related methods for boundary value problems involving PDEs, Mathematics - Numerical Analysis

File Description: application/xml

Access URL: http://arxiv.org/abs/2407.03343

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

File Description: application/xml

Internal shear layers in librating spherical shells: the case of attractors

Authors: He, Jiyang, Favier, Benjamin, Rieutord, Michel, Le Dizès, Stéphane

Contributors: Le Dizès, Stéphane

Source: Journal of Fluid Mechanics. 974

Subject Terms: Spectral methods applied to problems in fluid mechanics, waves in rotating fluids, [SPI] Engineering Sciences [physics], boundary layer separation, Navier-Stokes equations for incompressible viscous fluids, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, spectral method, General theory of rotating fluids, Physics - Fluid Dynamics, Boundary-layer theory, separation and reattachment, higher-order effects, 01 natural sciences, waves in rotating fluids rotating flows boundary layer separation, incompressible Navier-Stokes equations, rotating flows, self-similar asymptotic solution, 0103 physical sciences, rotating flow

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2305.08523
https://zbmath.org/7757038
https://doi.org/10.1017/jfm.2023.761
https://hal.science/hal-04286209v1
https://hal.science/hal-04286209v1/document
https://doi.org/10.1017/jfm.2023.761

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

File Description: application/xml

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

How electrostatic forces affect particle behaviour in turbulent channel flows

Authors: Huan Zhang, Yuankai Cui, Xiaojing Zheng

Source: Journal of Fluid Mechanics. 967

Subject Terms: Spectral methods applied to problems in fluid mechanics, temporal third-order Runge-Kutta scheme, spatial fast Fourier transform, Direct numerical and large eddy simulation of turbulence, Eulerian-Lagrangian point-particle approach, 02 engineering and technology, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, particle concentration, particle-fluid flow, Suspensions, bidisperse flow, 0103 physical sciences, direct numerical simulation, electrostatic Stokes number, Magnetohydrodynamics and electrohydrodynamics, Shear flows and turbulence, 0204 chemical engineering

File Description: application/xml

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

File Description: application/xml

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

The unstable temporal development of axi-symmetric jets of incompressible fluid

Authors: Earl S. Lester, Lawrence K. Forbes

Source: Journal of Engineering Mathematics. 120:29-42

Subject Terms: Kelvin-Helmholtz instability, Spectral methods applied to problems in fluid mechanics, spectral Galerkin method, cylindrical jet, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, Numerical Analysis (math.NA), 01 natural sciences, Interfacial stability and instability in hydrodynamic stability, 0103 physical sciences, FOS: Mathematics, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, Mathematics - Numerical Analysis

File Description: application/xml

Access URL: http://arxiv.org/pdf/2111.11589
http://arxiv.org/abs/2111.11589
https://zbmath.org/7192489
https://doi.org/10.1007/s10665-019-10030-w
http://arxiv-export-lb.library.cornell.edu/abs/2111.11589
http://ui.adsabs.harvard.edu/abs/2020JEnMa.120...29L/abstract
https://dblp.uni-trier.de/db/journals/corr/corr2111.html#abs-2111-11589
https://link.springer.com/article/10.1007/s10665-019-10030-w
http://export.arxiv.org/abs/2111.11589
http://arxiv.org/pdf/2111.11589.pdf
http://export.arxiv.org/pdf/2111.11589
https://arxiv.org/abs/2111.11589