Found 1,716 Documents (Results 1–100)
A well-balanced and positivity-preserving Godunov-type numerical scheme for a spray model. (English) Zbl 07927136
Self-similar solution of the generalized Riemann problem for two-dimensional isothermal Euler equations. (English) Zbl 07924633
Conservative transport model for surfactant on the interface based on the phase-field method. (English) Zbl 07922791
Traffic flow models with noise. (English) Zbl 07921399
Parés, Carlos (ed.) et al., Hyperbolic problems: theory, numerics, applications, HYP2022. Proceedings of the XVIII international conference, Málaga, Spain, June 20–24, 2022. Volume II. Cham: Springer. SEMA SIMAI Springer Ser. 35, 467-476 (2024).
Numerical comparison of nonlocal macroscopic models of multi-population pedestrian flows with anisotropic Kernel. (English) Zbl 07921391
Parés, Carlos (ed.) et al., Hyperbolic problems: theory, numerics, applications, HYP2022. Proceedings of the XVIII international conference, Málaga, Spain, June 20–24, 2022. Volume II. Cham: Springer. SEMA SIMAI Springer Ser. 35, 371-381 (2024).
Conservation laws with nonlocality in density and velocity and their applicability in traffic flow modelling. (English) Zbl 07921389
Parés, Carlos (ed.) et al., Hyperbolic problems: theory, numerics, applications, HYP2022. Proceedings of the XVIII international conference, Málaga, Spain, June 20–24, 2022. Volume II. Cham: Springer. SEMA SIMAI Springer Ser. 35, 347-357 (2024).
A cheap and easy-to-implement upwind scheme for second order traffic flow models. (English) Zbl 07921377
Parés, Carlos (ed.) et al., Hyperbolic problems: theory, numerics, applications, HYP2022. Proceedings of the XVIII international conference, Málaga, Spain, June 20–24, 2022. Volume II. Cham: Springer. SEMA SIMAI Springer Ser. 35, 209-219 (2024).
Global \(BV\) solutions to a system of balance laws from traffic flow. (English) Zbl 07921332
Parés, Carlos (ed.) et al., Hyperbolic problems: theory, numerics, applications, HYP2022. Proceedings of the XVIII international conference, Málaga, Spain, June 20–24, 2022. Volume I. Cham: Springer. SEMA SIMAI Springer Ser. 34, 307-317 (2024).
Interactions of stationary wave with rarefaction wave and shock wave for a blood flow model in arteries. (English) Zbl 07913141
On numerical integration and conservation of cell-centered finite difference method. (English) Zbl 07909821
Thermodynamically consistent Cahn-Hilliard-Navier-Stokes equations using the metriplectic dynamics formalism. (English) Zbl 07908474
A class of central unstaggered schemes for nonlocal conservation laws: applications to traffic flow models. (English) Zbl 07905345
A particle-resolved direct numerical simulation method for the compressible gas flow and arbitrary shape solid moving with a uniform framework. (English) Zbl 07901317
An implicit, asymptotic-preserving and energy-charge-conserving method for the Vlasov-Maxwell system near quasi-neutrality. (English) Zbl 1542.65087
WENO smoothness indicator based troubled-cell indicator for hyperbolic conservation laws. (English) Zbl 07882684
Energy stable finite element approximations of gas flow in poroelastic media. (English) Zbl 07875022
Existence of solutions for a class of one-dimensional models of pedestrian evacuations. (English) Zbl 1542.35247
Asymptotics of the sticky particles evolution. (English) Zbl 1543.35143
Reviewer: Changxing Miao (Beijing)
Singularity formation for the cylindrically symmetric rotating relativistic Euler equations of Chaplygin gases. (English) Zbl 1541.35362
Asymptotic compatibility of a class of numerical schemes for a nonlocal traffic flow model. (English) Zbl 1540.65352
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Asymptotic behavior of Riemann solutions for the inhomogeneous Aw-Rascle-Zhang traffic model with the logarithmic equation of state. (English) Zbl 07852398
Novel Lax pair and many conservation laws to a \((2+1)\)-dimensional generalized combined Calogero-Bogoyavlenskii-Schiff-type equation in biohydrodynamics. (English) Zbl 07850550
High-order bound-preserving local discontinuous Galerkin methods for incompressible and immiscible two-phase flows in porous media. (English) Zbl 1541.65098
On the singular limit problem in nonlocal balance laws: applications to nonlocal lane-changing traffic flow models. (English) Zbl 1539.35145
Convergence of rough Follow-the-Leader approximations and existence of weak solutions for the one-dimensional Hughes model. (English) Zbl 1537.35223
Integrable \((3 + 1)\)-dimensional generalization for the dispersionless Davey-Stewartson system. (English) Zbl 07835577
Assessment of immersed boundary methods for hypersonic flows with gas-surface interactions. (English) Zbl 07833603
MSC:
76-XX
Low-order fictitious domain method with enhanced mass conservation for an interface Stokes problem. (English) Zbl 1536.65138
Reviewer: Bülent Karasözen (Ankara)
Global stability to steady supersonic Rayleigh flows in one-dimensional duct. (English) Zbl 1540.35301
On the Riemann problem and interaction of elementary waves for two-layered blood flow model through arteries. (English) Zbl 1536.76155
Evaluation of advection schemes and surface tension model for algebraic and geometric VOF multiphase flow solvers. (English) Zbl 07819064
A discontinuous Galerkin approach for Atmospheric flows with implicit condensation. (English) Zbl 07819060
Energy conservation for the weak solutions to the 3D compressible nematic liquid crystal flow. (English) Zbl 07815373
An extended Hasegawa-Mima equation for nonlinear drift wave turbulence in general magnetic configurations. (English) Zbl 1534.76104
Parametric finite element approximations for anisotropic surface diffusion with axisymmetric geometry. (English) Zbl 07811320
The global existence of \(L^{\infty}\) solutions to isentropic Euler equations in general nozzle. (English) Zbl 1532.35361
A new discretely divergence-free positivity-preserving high-order finite volume method for ideal MHD equations. (English) Zbl 1531.65138
Reviewer: Abdallah Bradji (Annaba)
Asymptotic limits of Riemann solutions to a novel second-order continuous macroscopic traffic flow model. (English) Zbl 1538.35224
Local well-posedness of the plasma-vacuum interface problem for the ideal incompressible MHD. (English) Zbl 1530.35238
Solitons, instantons, and twistors. 2nd edition. (English) Zbl 07770927
Oxford Graduate Texts in Mathematics 31. Oxford: Oxford University Press (ISBN 978-0-19-887253-5/hbk; 978-0-19-887254-2/pbk). (2024).
On the Aw-Rascle-Zhang traffic models with nonlocal look-ahead interactions. arXiv:2403.08643
Preprint, arXiv:2403.08643 [math.AP] (2024).
Overview on uncertainty quantification in traffic models via intrusive method. (English) Zbl 07921305
Albi, Giacomo (ed.) et al., Advances in numerical methods for hyperbolic balance laws and related problems. Based on talks given at the young researchers’ conference “Numerical aspects of hyperbolic balance laws and related problems”, University of Verona, Verona, Italy, December 2021. Cham: Springer. SEMA SIMAI Springer Ser. 32, 121-138 (2023).
A non-local system modeling bi-directional traffic flows. (English) Zbl 07921302
Albi, Giacomo (ed.) et al., Advances in numerical methods for hyperbolic balance laws and related problems. Based on talks given at the young researchers’ conference “Numerical aspects of hyperbolic balance laws and related problems”, University of Verona, Verona, Italy, December 2021. Cham: Springer. SEMA SIMAI Springer Ser. 32, 49-66 (2023).
Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma. (English) Zbl 07830493
Interacting moving bottlenecks in traffic flow. (English) Zbl 1535.90042
MSC:
90B20
Temple system on networks. (English) Zbl 1535.35191
Reviewer: Massimiliano Daniele Rosini (Ferrara)
Numerical schemes for a class of nonlocal conservation laws: a general approach. (English) Zbl 1535.65154
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
A difference scheme for a triangular system of conservation laws with discontinuous flux modeling three-phase flows. (English) Zbl 1535.65127
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Conservation laws with discontinuous flux function on networks: a splitting algorithm. (English) Zbl 1532.90021
Lie group analysis of flow and heat transfer of a nanofluid in cone-disk systems with Hall current and radiative heat flux. (English) Zbl 1531.76100
The equations of the Darcy-Brinkman flow: the Lie symmetry classification, conservation laws, and traveling wave solutions. (English) Zbl 1531.35028
Design and analysis of an exactly divergence-free hybridised discontinuous Galerkin method for incompressible flows on meshes with quadrilateral cells. (English) Zbl 1536.76060
Smoothed particle hydrodynamics modelling of particle-size segregation in granular flows. (English) Zbl 1532.76079
Construction of solutions of a two-dimensional Riemann problem for a thin film model of a perfectly soluble antisurfactant solution. (English) Zbl 1530.35152
Moving-mesh finite-volume methods for hyperbolic interface dynamics. (English) Zbl 1529.65042
Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 111-127 (2023).
Steady compressible Euler equations of concentration layers for hypersonic-limit flows passing three-dimensional bodies and generalized Newton-Busemann pressure law. (English) Zbl 1527.35246
An improved hybridization strategy for the fifth-order unequal-sized weighted essentially non-oscillatory scheme. (English) Zbl 1523.65078
The vanishing pressure limits of Riemann solutions to the Isothermal two-phase flow model under the external force. (English) Zbl 1526.35233
Asymptotically entropy-conservative and kinetic-energy preserving numerical fluxes for compressible Euler equations. (English) Zbl 07742917
An efficient energy conserving semi-Lagrangian kinetic scheme for the Vlasov-Ampère system. (English) Zbl 1528.76112
A limiting viscosity approach to the Riemann problem in blood flow through artery. (English) Zbl 1522.35333
A locally conservative multiscale method for stochastic highly heterogeneous flow. (English) Zbl 1539.76116
Conical sonic-supersonic solutions for the 3-D steady full Euler equations. (English) Zbl 1538.35269
Investigation of the time fractional generalized \((2+1)\)-dimensional Zakharov-Kuznetsov equation with single-power law nonlinearity. (English) Zbl 1529.35397
A space-time nonlocal traffic flow model: relaxation representation and local limit. (English) Zbl 1522.35331
Reviewer: Giuseppe Maria Coclite (Bari)
Modeling and numerical simulations of multilane vehicular traffic by active particles methods. (English) Zbl 1516.35299
Rusanov’s third-order accurate scheme for modeling plasma oscillations. (English. Russian original) Zbl 1519.76204
Comput. Math. Math. Phys. 63, No. 5, 905-918 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 5, 864-878 (2023).
On existence, stability and many-particle approximation of solutions of 1D Hughes’ model with linear costs. (English) Zbl 1518.35487
Tightly coupled hyperbolic treatment of buoyant two-phase flow and transport in porous media. (English) Zbl 07705892
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