论文标题
固体中流变波和热力学的优点的四个时空模拟
Four spacetime dimensional simulation of rheological waves in solids and the merits of thermodynamics
论文作者
论文摘要
从粘弹性/流变学固体中应用于波传播的热力学构想的数值方案得出的最新结果在这里概括，这两种方案都将该方案延伸到四个时空维度以及在热力学方法的美德方面。关于该方案，在离散的时空（包括适当意识到边界条件的问题）的情况下，数量的排列表示是不平凡的。同时，将问题放在热力学框架中被证明在监视和控制数值人工制品方面是有益的 - 不稳定性，耗散误差和分散误差。除了观察到的精确性，速度和资源友好性之外，这还使这里提出的热力学扩展符号方法在这里提出了超过商业有限元软件解决方案。
The recent results attained from a thermodynamically conceived numerical scheme applied on wave propagation in viscoelastic/rheological solids are generalized here, both in the sense that the scheme is extended to four spacetime dimensions and in the aspect of the virtues of a thermodynamical approach. Regarding the scheme, the arrangement of which quantity is represented where in discretized spacetime, including the question of appropriately realizing the boundary conditions, is nontrivial. In parallel, placing the problem in the thermodynamical framework proves to be beneficial in regards to monitoring and controlling numerical artefacts - instability, dissipation error, and dispersion error. This, in addition to the observed preciseness, speed, and resource-friendliness, makes the thermodynamically extended symplectic approach that is presented here advantageous above commercial finite element software solutions.
