Exponential versus IMEX high-order time integrators for thermal convection in rotating spherical shells

نویسندگان

  • Ferran Garcia
  • Luca Bonaventura
  • Marta Net
  • Juan Sánchez
چکیده

Article history: Received 28 July 2013 Received in revised form 20 December 2013 Accepted 22 January 2014 Available online 24 January 2014

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A comparison of high-order time integrators for thermal convection in rotating spherical shells

A numerical study of several time integration methods for solving the threedimensional Boussinesq thermal convection equations in rotating spherical shells is presented. Implicit and semi-implicit time integration techniques based on backward differentiation and extrapolation formulae are considered. The use of Krylov techniques allows the implicit treatment of the Coriolis term with low storag...

متن کامل

Semi-Lagrangian exponential integrators for the incompressible Navier-Stokes equations

preprint numerics no. 7/2011 norwegian university of science and technology trondheim, norway Direct applications of high order DIRK-CF methods as presented in [7] to the incompressible Navier-Stokes equations were found to yield a loss in order of convergence. The DIRK-CF methods are exponential integrators arising from the IMEX Runge-Kutta techniques proposed in [1], and are semi-Lagrangian w...

متن کامل

Antisymmetric polar modes of thermal convection in rotating spherical fluid shells at high taylor numbers.

The onset of thermal convection in a rotating spherical shell of intermediate radius ratio eta=0.4 is studied numerically for Taylor numbers Ta > or = 10(11) and the Prandtl number of the liquid sodium (sigma=0.01). For the first time, it is shown that at very high Taylor numbers the first unstable mode can be antisymmetric with respect to the equator and confined inside a cylinder tangent to t...

متن کامل

Semi - Lagrangian multistep exponential integrators for index 2 differential algebraic system

Implicit-explicit (IMEX) multistep methods are very useful for the time discretiza-tion of convection diffusion PDE problems such as the Burgers equations and also the incompressible Navier-Stokes equations. Semi-discretization in space of the latter typically gives rise to an index 2 differential-algebraic (DAE) system of equations. Runge-Kutta (RK) methods have been considered for the time di...

متن کامل

Convection in Rotating Spherical Fluid Shells

Convection driven by thermal buoyancy in rotating spherical bodies of fluid has long been recognized as a fundamental process in the understanding of the properties of planets and stars. Since these objects are rotating in general and since their evolution is associated with the transport of heat from their interiors convection influenced by the Coriolis force does indeed play a dominant role i...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • J. Comput. Physics

دوره 264  شماره 

صفحات  -

تاریخ انتشار 2014