标题： 关于冰盖的质量守恒 显示英文标题

标题： On mass conservation for ice sheets

摘要： 提出了一种新的连续介质力学公式，该公式涵盖了冰盖内部和周围的全部材料过程。 使用此公式，推导并详细阐述了冰盖的质量平衡和自由表面关系。 然后将得到的三维质量平衡关系垂直积分，以在水平面上产生一个冰盖准质量平衡关系，并被证明可以减少具有高表面梯度区域的速度误差。 作为验证未来数值冰盖模型的一种手段，制定了一个满足修正后的质量平衡关系的解析速度。 显示英文摘要

摘要： A new continuum-mechanical formulation is proposed which encompasses all material processes within and surrounding an ice sheet. Using this formulation, the balance of mass and free-surface relations for ice sheets are derived and elaborated upon. The resulting three-dimensional mass-balance relation is then integrated vertically to produce an ice-sheet quasi-mass-balance relation in the horizontal plane, and is demonstrated to reduce velocity errors in regions with high magnitude surface gradients. An analytic velocity satisfying the corrected mass-balance relation is formulated as a means to verify future numerical ice-sheet models.