CAJ | 학술논문

采用熵守恒格式求解双曲守恒律方程组时，通过加入适当的人工粘性，能使格式达到熵稳定，从而使得到的数值解能收敛于满足物理特性的解。自适应人工粘性在不同的计算区域上，能根据解的特性变化而改变其大小。本文将自适应人工粘性添加到熵守恒格式上，使得新格式满足熵稳定条件。并通过调节系数C使得格式整体达到高分辨率。最后以熵稳定ERoe格式和高分辨率EYee格式作为参照，通过几个二维数值实验，说明新格式的特性。
채용적수항격식구해쌍곡수항률방정조시，통과가입괄당적인공점성，능사격식체도적은정，종이사득도적수치해능수렴우만족물리특성적해。자괄응인공점성재불동적계산구역상，능근거해적특성변화이개변기대소。본문장자괄응인공점성첨가도적수항격식상，사득신격식만족적은정조건。병통과조절계수C사득격식정체체도고분변솔。최후이적은정ERoe격식화고분변솔EYee격식작위삼조，통과궤개이유수치실험，설명신격식적특성。
When using entropy conservative schemes to solve the equations of hyperbolic conservation laws , we can add some appropriate artificial viscosity to make the scheme meet the entropy stable conditions.Adaptive artificial viscosity can adjust its own amount according to the character of solution.In this paper , we add adap-tive artificial viscosity to entropy conservative schemes to meet the entropy stable conditions , and then adjust the coefficient C to achieve high resolution.Finally, we compare this method with entropy -stable ERoe and high-resolution EYee scheme to show the characteristics of the new method.