CAJ | 학술논문

基于加权CVT的Burgers方程的降阶模型,研究了由非均匀密度确定的近似子空间基元素.并利用有限元方法比较了由CVT-uniform,CVT-nonuniform方法和POD方法得到的相关数值.
기우가권CVT적Burgers방정적강계모형,연구료유비균균밀도학정적근사자공간기원소.병이용유한원방법비교료유CVT-uniform,CVT-nonuniform방법화POD방법득도적상관수치.
In this paper,we consider a weighted CVT-based reduced-order modeling for Burgers equation.So far,the CVT(centroidal Voronoi tessellation) was researched with uniform density(ρ(y)=1)to determine the basis elements for the approximating subspaces.Here,we shall investigate the technique of CVT with nonuniform density as a procedure to determine the basis elements for the approximating subspaces.Some nu-merical experiments including comparison of two CVT(CVT-uniform and CVT-nonuniform)-based algorithm with numerical results obtained from FEM(finite element method) and POD (Proper Orthogonal Decomposi-tion)-based algorithm are reported.