CAJ | 학술논문

本文提出了一种求解双曲型守恒律新的三阶中心差分格式,主要是引入了一种推广的三阶重构,并证明了这种重构在网格边界无振荡.所提的格式保持了中心差分格式简单的优点,不需用Riemann解算器,避免了进行特征解耦.数值试验结果表明本文格式是高精度、高分辨率的.
본문제출료일충구해쌍곡형수항률신적삼계중심차분격식,주요시인입료일충추엄적삼계중구,병증명료저충중구재망격변계무진탕.소제적격식보지료중심차분격식간단적우점,불수용Riemann해산기,피면료진행특정해우.수치시험결과표명본문격식시고정도、고분변솔적.
A new third-order central scheme for the approximate solution of hyperbolic conservation laws is presented. A new modified third-order reconstruction is proposed especially. This reconstruction is non-oscillatory at interfaces. Our scheme retains the main advantage of the central schemessimplicity, namely no Riemann solvers are involved and hence characteristic decompositions are avoided. The numerical results show the desired accuracy and high resolution of our scheme.