<P><B>Abstract</B></P> <P>We introduce a stable method for solving the incompressible Navier–Stokes equations with variable density and viscosity. Our method is stable in the sense that it does not increase the tot...
http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
https://www.riss.kr/link?id=A107521714
2018
-
SCOPUS,SCIE
학술저널
104-119(16쪽)
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
<P><B>Abstract</B></P> <P>We introduce a stable method for solving the incompressible Navier–Stokes equations with variable density and viscosity. Our method is stable in the sense that it does not increase the tot...
<P><B>Abstract</B></P> <P>We introduce a stable method for solving the incompressible Navier–Stokes equations with variable density and viscosity. Our method is stable in the sense that it does not increase the total energy of dynamics that is the sum of kinetic energy and potential energy. Instead of velocity, a new state variable is taken so that the kinetic energy is formulated by the <SUP> L 2 </SUP> norm of the new variable. Navier–Stokes equations are rephrased with respect to the new variable, and a stable time discretization for the rephrased equations is presented.</P> <P>Taking into consideration the incompressibility in the Marker-And-Cell (MAC) grid, we present a modified Lax–Friedrich method that is <SUP> L 2 </SUP> stable. Utilizing the discrete integration-by-parts in MAC grid and the modified Lax–Friedrich method, the time discretization is fully discretized. An explicit CFL condition for the stability of the full discretization is given and mathematically proved.</P> <P><B>Highlights</B></P> <P> <UL> <LI> We present a modified Lax–Friedrich method that is <SUP> L 2 </SUP> stable. </LI> <LI> A novel time discretization for the Navier–Stokes' equations are presented. </LI> <LI> An explicit CFL condition for the stability of the full discretization is given and mathematically proved. </LI> <LI> We introduce a stable method for solving the incompressible Navier–Stokes' equations with variable density and viscosity. </LI> </UL> </P>