A bounded scheme based on Bézier curves for convection-dominated transport problems
From MaRDI portal
Publication:6073206
DOI10.1016/J.CAM.2023.115502zbMath1530.76049OpenAlexW4385880645MaRDI QIDQ6073206
P. C. R. Oviedo, Bernardo M. Rocha, M. T. Magalhães, R. A. B. de Queiroz
Publication date: 17 October 2023
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2023.115502
Numerical computation using splines (65D07) Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Cites Work
- Unnamed Item
- Unnamed Item
- High-order residual-based compact schemes for advection-diffusion problems
- An oscillation-free high order TVD/CBC-based upwind scheme for convection discretization
- Design principles for bounded higher-order convection schemes -- a unified approach
- High resolution schemes for hyperbolic conservation laws
- Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
- Bézier and B-spline techniques
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- Conjugate filter approach for solving Burgers' equation
- Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method
- A bounded upwinding scheme for computing convection-dominated transport problems
- A review on TVD schemes and a refined flux-limiter for steady-state calculations
- High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
- Simple high‐accuracy resolution program for convective modelling of discontinuities
- Curvature-compensated convective transport: SMART, A new boundedness- preserving transport algorithm
- Second-order upwind and central difference schemes for recirculatingflow computation
- Development and assessment of a variable-order non-oscillatory scheme for convection term discretization
- On a higher-order bounded discretization scheme
- Refinement of the convective boundedness criterion of Gaskell and Lau
- Numerical Solution of Partial Differential Equations
- A convergent and universally bounded interpolation scheme for the treatment of advection
- A high resolution NV/TVD Hermite polynomial upwind scheme for convection‐dominated problems
- Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers
- On the solution of nonlinear hyperbolic differential equations by finite differences
This page was built for publication: A bounded scheme based on Bézier curves for convection-dominated transport problems