A discontinuous Galerkin method with a bound preserving limiter for the advection of non-diffusive fields in solid Earth geodynamics

详细信息    查看全文

• 作者：Ying He^a ; ^{yinghe@math.ucdavis.edu} ; Elbridge Gerry Puckett^a ; Magali I. Billen^b
• 关键词：Geodynamics ; Composition advection ; Discontinuous Galerkin method ; Stokes equation ; Bound preserving limiter ; Strong stability preserving (SSP) Runge&ndash ; Kutta
• 刊名：Physics of the Earth and Planetary Interiors
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：263
• 期：Complete
• 页码：23-37
• 全文大小：3155 K
• 卷排序：263

文摘

Discontinuous Galerkin method for advection of compositional fields in mantle convection. Bound preserving limiter is used to maintain sharp boundaries (<0.02% overshoot). Falling box benchmark is used to demonstrate the method. Results are compared to a finite element method using entropy-viscosity stabilization. Can be used in 2-D and 3-D: when applied AMR, provides highly resolved boundaries.