Fully decoupled monolithic projection method for natural convection problems
From MaRDI portal
Publication:1685275
DOI10.1016/j.jcp.2017.01.022zbMath1375.76178OpenAlexW4249370995MaRDI QIDQ1685275
Kyoungyoun Kim, Xiaomin Pan, Changhoon Lee, Jung-il Choi
Publication date: 13 December 2017
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2017.01.022
natural convectionprojection methodnumerical stabilityRayleigh-Bénard convectionsecond-order temporal accuracymonolithic approach
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) Free convection (76R10)
Related Items
An implicit conformation tensor decoupling approach for viscoelastic flow simulation within the monolithic projection framework ⋮ Monolithic projection-based method with staggered time discretization for solving non-Oberbeck-Boussinesq natural convection flows ⋮ PaScaL\_TDMA: a library of parallel and scalable solvers for massive tridiagonal systems ⋮ Optimal convergence of the scalar auxiliary variable finite element method for the natural convection equations ⋮ DNS of buoyancy-driven flows using EDAC formulation solved by high-order method ⋮ Pascal\_TCS: a versatile solver for large-scale turbulent convective heat transfer problems with temperature-dependent fluid properties ⋮ An efficient matrix factorization within the projection framework for ameliorating the surface tension time step constraint in interfacial flows ⋮ Non-intrusive framework of reduced-order modeling based on proper orthogonal decomposition and polynomial chaos expansion ⋮ Efficient monolithic projection-based method for chemotaxis-driven bioconvection problems ⋮ A phase-field model and its efficient numerical method for two-phase flows on arbitrarily curved surfaces in 3D space ⋮ Efficient monolithic projection method for time-dependent conjugate heat transfer problems
Cites Work
- Unnamed Item
- The second order projection method in time for the time-dependent natural convection problem.
- An analysis of the fractional step method
- Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models
- Accurate solutions to the square thermally driven cavity at high Rayleigh number
- Numerical simulation of two-dimensional Rayleigh-Bénard convection in an enclosure
- Large time asymptotic and numerical solution of a nonlinear diffusion model with memory
- Application of a fractional-step method to incompressible Navier-Stokes equations
- Computation of natural convection in two-dimensional cavities with Chebyshev polynomials
- Effects of the computational time step on numerical solutions of turbulent flow
- A second-order projection method for the incompressible Navier-Stokes equations
- Analysis of velocity-components decoupled projection method for the incompressible Navier-Stokes equations
- A decoupled monolithic projection method for natural convection problems
- Error analysis of a fully discrete finite element variational multiscale method for the natural convection problem
- Fundamentals of Engineering Numerical Analysis
- A PROJECTION-BASED VARIATIONAL MULTISCALE METHOD FOR LARGE-EDDY SIMULATION WITH APPLICATION TO NON-ISOTHERMAL FREE CONVECTION PROBLEMS
- A steepest gradient method for optimum structural design
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
- Unsteady natural convection in a rectangular cavity
- Three-dimensional instability of axisymmetric buoyant convection in cylinders heated from below
- An implicit velocity decoupling procedure for the incompressible Navier-Stokes equations
- An analysis and comparison of the time accuracy of fractional-step methods for the Navier-Stokes equations on staggered grids
- Rayleigh number scaling in numerical convection
- On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
- A Coupled Prediction Scheme for Solving the Navier--Stokes and Convection-Diffusion Equations
- Numerical Solution of the Navier-Stokes Equations