Imposing mixed Dirichlet-Neumann-Robin boundary conditions on irregular domains in a level set/ghost fluid based finite difference framework

Chai, Min; Luo, Kun; Wang, Haiou; Zheng, Shuihua; Fan, Jianren

doi:10.1016/j.compfluid.2020.104772

Cited by 10 publications

(6 citation statements)

References 65 publications

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“…This approach is easily extended to multidimensional Poisson equation by applying the same methodology for the other directions. However, application to other boundary conditions such as Neumann or Robin is not straightforward and has been addressed only recently [61,62]. The extrapolation used to defined Φ gh i+1 can be generalized to any boundary condition type using the following second-order extrapolation…”

Section: Ghost Cell Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Consistency and accuracy in the simulation of two-phase flows with phase change using sharp interface capturing methods

Boniou

Schmitt

Vié

2022

Journal of Computational Physics

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Section: Ghost Cell Methodsmentioning

confidence: 99%

“…( 31) is used for the Laplacian with Φ gh i+1 defined by the procedure above. Note that the procedure to impose Robin boundary conditions has been extended to general boundary conditions in [62] by fixing b = 0 for Dirichlet boundary conditions or a = 0 for Neumann boundary conditions. In Fig.…”

Section: Ghost Cell Methodsmentioning

confidence: 99%

Consistency and accuracy in the simulation of two-phase flows with phase change using sharp interface capturing methods

Boniou

Schmitt

Vié

2022

Journal of Computational Physics

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“…Jika pergerakan gelombang air dikondisikan memiliki ketinggian yang tidak berubah seiring adanya perubahan waktu, maka kondisi semacam itu dapat dinyatakan sebagai sebuah kondisi yang dinamakan sebagai kondisi batas Dirichlet [3]. Tetapi jika kondisi pergerakan air pada sisi-sisi kanal tidak seragam, maka kondisi pada batas dapat dinyatakan menggunakan perpaduan dari kondisi Neumann maupun Dirichlet [4], [5], [6], [7].…”

Section: Pendahuluanunclassified

Solusi Numerik Persamaan Gelombang Dua Dimensi Dengan Metode Beda Hingga Skema Eksplisit CTCS

Chasamah

Jamhuri

Alisah

2021

JRMM

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Persamaan gelombang dua dimensi merupakan persamaan diferensial parsial yang merupakan representasi dari gelombang permukaan yang dihasilkan oleh aliran air. Tujuan daripada penelitian ini adalah untuk menganalisis solusi numerik persamaan gelombng dua dimensi dengan menggunakan metode beda hingga skema eksplisit CTCS (Center Time Center Space). Ada beberapa langkah untuk menyelesaiakan persamaan ini, diantaranya diskritisasi pada persamaan gelombang dua, diskritisasi terhadap kondisi awal serta kondisi batasnya dimensi dengan metode beda hingga pusat terhadap waktu dan ruang. Langkah selanjutnya adalah menentukan syarat kestabilan dan syarat konsistensi untuki menunjukkan bahwa solusi numerik tersebut mendekati solusi analitik. Setelah diperoleh syarat kestabilan dan konsistensi dari skema yang digunakan maka simulasi dari skema yang digunakan dapat dilakukan. Hasil simulasi menunjukkan bahwa penggunaan metode beda hingga skema eksplisit CTCS pada persaman gelombang dua dimensi stabil dengan syarat tertentu. Dari syarat kekonvergenannya skema eksplisit CTCS pada persamaan gelombang dua dimensi diperoleh order errornya . Selanjutnya untuk penelitian dapat meneliti tentang solusi analitik persamaan gelombang dua dimensi dengan menggunakan kondisi batas Neumann

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“…Therefore, the ICE will still be the main power resource of the vehicle in the foreseeable future (Heywood, 2018;. Also, many researchers have studied combustion models (Keskinen et al, 2016;Shi et al, 2019), heat transfer (Hongliang et al, 2016;Xu et al, 2020a), injection strategies (Shi et al, 2018;Chai et al, 2021), and emissions (Liu and Rigopoulos, 2019;Lin et al, 2021) related to internal combustion engines. While the traditional port fuel injection (PFI) engine has difficulty meeting the requirement of environment protection and economic efficiency, attention is attracted to the gasoline direct injection (GDI) engine (Wang and Shuai, 2011;Liu and Wang, 2022).…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigations of Injection Timing Effects on a GDI Engine Performance: Part B, In-Cylinder Emission Formation and Oxidation Process

et al. 2022

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The emphasis on environmental protection and energy security has promoted automobile engine technology toward low emission and economy. While the traditional port fuel injection engine can hardly meet the latest regulations and requirements, the gasoline direct injection (GDI) engine becomes a hot research topic because of its potential to reduce fuel consumption and emissions. Since injection timing has a determining effect on overall engine performance, this paper aimed to investigate the injection timing effects on mixture formation and emissions. A validated three-dimensional numerical simulation model of a 4-stroke GDI engine combustion chamber was adopted. In a previous work (Part A), the in-cylinder combustion process has been discussed. In this study, the simulation results demonstrate that with the injection timing advancing, the fuel–gas mixture was more uniformly distributed and combusted more completely; the CO, UHC, and soot had decreased sharply by 80.6, 99.2, and 97.5%; the NOx emission increased by 151.7%. The optimized injection timing for this case was 300 CA BTDC. Moreover, this paper studied the in-cylinder views of injection timing effects on mixture formation and emission, providing reference to optimize injection of GDI engine.

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Imposing mixed Dirichlet-Neumann-Robin boundary conditions on irregular domains in a level set/ghost fluid based finite difference framework

Cited by 10 publications

References 65 publications

Consistency and accuracy in the simulation of two-phase flows with phase change using sharp interface capturing methods

Consistency and accuracy in the simulation of two-phase flows with phase change using sharp interface capturing methods

Solusi Numerik Persamaan Gelombang Dua Dimensi Dengan Metode Beda Hingga Skema Eksplisit CTCS

Numerical Investigations of Injection Timing Effects on a GDI Engine Performance: Part B, In-Cylinder Emission Formation and Oxidation Process

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