A New Stiffly Accurate Rosenbrock-Wanner Method for Solving the Incompressible Navier-Stokes Equations

DOI10.1007/978-3-642-33221-0_18zbMath1382.65286OpenAlexW37835873MaRDI QIDQ4915545

Joachim Rang

Publication date: 10 April 2013

Published in: Notes on Numerical Fluid Mechanics and Multidisciplinary Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-33221-0_18

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (7)

A comparison of Rosenbrock and ESDIRK methods combined with iterative solvers for unsteady compressible flows ⋮ A high-order discontinuous Galerkin solver for unsteady incompressible turbulent flows ⋮ Robustness and efficiency of an implicit time-adaptive discontinuous Galerkin solver for unsteady flows ⋮ Rosenbrock-Wanner and W-methods for the Navier-Stokes equations ⋮ The Prothero and Robinson example: convergence studies for Runge-Kutta and Rosenbrock-Wanner methods ⋮ Water and Hydrogen Flow in Networks: Modelling and Numerical Solution by ROW Methods ⋮ Improved traditional Rosenbrock-Wanner methods for stiff ODEs and DAEs

Uses Software

• ROS3P

Cites Work

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• ROS3P -- An accurate third-order Rosenbrock solver designed for parabolic problems

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