نویسنده
دانشکده مهندسی مکانیک، دانشگاه صنعتی اصفهان
چکیده
به‌منظور به‌دست آوردن طیف عبور امواج در کریستال فونونیک و هدایت کننده مربوطه، یک الگوریتم جدید در این مقاله ارائه می‌شود. با استخراج فرم بر مبنای جابه‌جایی معادلات موج الاستیک و گسسته‌سازی آن، الگوریتم تفاضل محدود بر مبنای جابه‌جایی در حوزه زمان معرفی می‌شود. دو مثال عددی با این روش محاسبه و نتایج با روش مرسوم تفاضل محدود در حوزه زمان مقایسه می‌شود. به‌علاوه هزینه محاسباتی روش جدید با روش مرسوم تفاضل محدود در حوزه زمان مقایسه شده است. این مقایسه نشان داد که زمان محاسباتی لازم در روش تفاضل محدود بر مبنای جابه‌جایی در حوزه زمان 40 درصد از روش مرسوم تفاضل محدود در حوزه زمان کمتر است.
کلیدواژه‌ها
عنوان مقاله [English]
Simulation of Elastic Wave Propagation through Steel/Epoxy Phononic Crystal Waveguide by Displacement-Based Finite Difference Method
نویسنده [English]
- M. Moradi
چکیده [English]
In order to obtain transmission spectra through a phononic crystal as well as its waveguide, a new algorithm is presented in this paper. By extracting displacement-based forms of elastic wave equations and their discretization, Displacement- Based Finite Difference Time Domain (DBFDTD) algorithm is presented. Two numerical examples are solvcd with this method and the results are compared with the conventional Finite Difference Time Domain (FDTD) method. In addition, the computational cost of the new approach has been compared with the conventional FDTD method. This comparison showed that the computation time of the DBFDTD method is 40 percent less than that of the conventional FDTD method.
کلیدواژه‌ها [English]
- Phononic crystal
- wave propagation
- Finite difference time domain
- Displacement-based formulation
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