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Time Acceleration Methods for Advection on the Cubed Sphere

Summary: Time Acceleration Methods for Advection on
the Cubed Sphere
R.K. Archibald, K.J. Evans, J.B. Drake, and J.B. White III
Oak Ridge National Laboratory, Oak Ridge, TN
Abstract. Climate simulation will not grow to the ultrascale without
new algorithms to overcome the scalability barriers blocking existing im-
plementations. Until recently, climate simulations concentrated on the
question of whether the climate is changing. The emphasis is now shift-
ing to impact assessments, mitigation and adaptation strategies, and
regional details. Such studies will require significant increases in spatial
resolution and model complexity while maintaining adequate through-
put. The barrier to progress is the resulting decrease in time step with-
out increasing single-thread performance. In this paper we demonstrate
how to overcome this time barrier for the first standard test defined for
the shallow-water equations on a sphere. This paper explains how com-
bining a multiwavelet discontinuous Galerkin method with exact linear
part time-evolution schemes can overcome the time barrier for advec-
tion equations on a sphere. The discontinuous Galerkin method is a
high-order method that is conservative, flexible, and scalable. The addi-
tion of multiwavelets to discontinuous Galerkin provides a hierarchical


Source: Archibald, Richard - Computer Science and Mathematics Division, Oak Ridge National Laboratory


Collections: Computer Technologies and Information Sciences