Correction: Wang et al. Calibration of DEM Polyhedron Model for Wheat Seed Based on Angle of Repose Test and Semi-Resolved CFD-DEM Coupling Simulation. Agriculture 2025, 15, 506

Error in Table

In the original publication [1], there was a mistake in Table 8 as published. The data for the last two groups were inadvertently duplicated during the table creation process, leading to a clerical error. The corrected version of

Table 8. Results of ejection velocity.

Operating Pressure (kPa)	Category	Ejection Velocity (m/s)					Average Value	Relative Error (%)
0	Experimental Value	2.383	2.401	2.321	2.403	2.381	2.378	3.8
	Simulated Value	2.51	2.473	2.398	2.464	2.497	2.468
1	Experimental Value	2.365	2.415	2.387	2.412	2.395	2.395	4.1
	Simulated Value	2.408	2.369	2.557	2.546	2.579	2.492
2	Experimental Value	2.472	2.493	2.502	2.485	2.511	2.493	1.3
	Simulated Value	2.483	2.513	2.561	2.588	2.483	2.526
3	Experimental Value	2.582	2.553	2.498	2.505	2.525	2.533	3.3
	Simulated Value	2.628	2.581	2.588	2.655	2.635	2.617
4	Experimental Value	2.665	2.652	2.657	2.672	2.636	2.656	2.3
	Simulated Value	2.703	2.721	2.738	2.733	2.697	2.718

appears below.

Missing Citation 1

In the original publication, “Ren, D.-Z.; Zhang, L.-J.; Gong, Y.-J.; Meng, J.; He, T.-Y. Calibration and Testing of Discrete Element Model Parameters for Biochar-based Fertilizer. J. Shenyang Agric. Univ. 2023, 54, 447–455.” was not cited. The citation has now been inserted into Section 2.6. Modeling in Rocky DEM Software, 2.6.1. Simulation Software and Contact Model, Paragraph 2 and should read:

The Hertzian Spring–Dashpot model bears resemblance to the Linear Spring–Dashpot model, with the primary distinction being that both the elastic and damping components of the normal force in the Hertzian model are nonlinear functions of the overlap [36].

Missing Citation 2

In the original publication, “Malone, K.F.; Xu, B.H. Determination of contact parameters for discrete element method simulations of granular systems. Particuology 2008, 6, 521–528. https://doi.org/10.1016/j.partic.2008.07.012.” was not cited. The citation has now been inserted into Section 2.6. Modeling in Rocky DEM Software, 2.6.1. Simulation Software and Contact Model, Paragraph 2 and should read:

The elastic component is grounded in the classical contact theory formulated by Hertz in the late nineteenth century [37].

Missing Citation 3

In the original publication, “Chen, J.; Tian, T.; Li, J.; You, Z. Effects of operating parameters and particle friction on water usage of deep-sea manganese nodules hydraulic conveying equipment. Powder Technol. 2024, 442, 119850. https://doi.org/10.1016/j.powtec.2024.119850.” was not cited. The citation has now been inserted into Section 2.6. Modeling in Rocky DEM Software, 2.6.1. Simulation Software and Contact Model, Paragraph 2 and should read:

The formulation of the Hertzian Spring–Dashpot model as implemented in Rocky DEM can be expressed as follows [38]:

Missing Citation 4

In the original publication, “Zhang, C.; Guo, S.; Shang, F.; Ge, Z.; Guo, L. Numerical simulation of particle jet in supercritical water environment based on an improved coarse-grained CFD-DEM method. Powder Technol. 2025, 456, 120833. https://doi.org/10.1016/j.powtec.2025.120833.” was not cited. The citation has now been inserted into Section 2.6. Modeling in Rocky DEM Software, 2.6.1. Simulation Software and Contact Model, Paragraph 3 and should read:

In Rocky DEM, the value of η is determined by solving Equation (12) [41],

Missing Citation 5

In the original publication, “Petit, H.A.; Potapov, A.V.; Tavares, L.M. Simulating breakage by compression of iron ore pellets using the discrete breakage model. Powder Technol. 2025, 449, 120433. https://doi.org/10.1016/j.powtec.2024.120433.” was not cited. The citation has now been inserted into Section 2.6. Modeling in Rocky DEM Software, 2.6.1. Simulation Software and Contact Model, Paragraph 4 and should read:

The tangential force in the Mindlin–Deresiewicz model is described by the following expressions [42]:

Missing Citation 6

In the original publication, “Ansys^® Rocky. Release 2024 R1, Help System, Rocky Technical Manual; Ansys, Inc.: Canonsburg, PA, USA, 2024.” was not cited. The citation has now been inserted into Section 2.6. Modeling in Rocky DEM Software, 2.6.1. Simulation Software and Contact Model, Paragraph 5 and should read:

Consequently, when employing the Mindlin–Deresiewicz model in simulations involving non-spherical particles, it is imperative to disable the rolling resistance models within the project [43].

Text Correction 1

There was an error in the original publication. The author identified a grammatical error.

A correction has been made to Section 2.6. Modeling in Rocky DEM Software, 2.6.1. Simulation Software and Contact Model, Paragraph 1:

The normal force contact model was configured as the Hertzian Spring–Dashpot model, while the alternative tangential force contact model was designated as the Mindlin–Deresiewicz model.

Text Correction 2

There was an error in the original publication. Formula (8) shares the same variable notation as Formula (2). To prevent any potential confusion for the readers, the symbols have been modified while retaining their original meanings.

A correction has been made to Section 2.6. Modeling in Rocky DEM Software, 2.6.1. Simulation Software and Contact Model, Paragraph 2:

$$\frac{1}{R^{*}}=\left\{\begin{array}{cc}\frac{2}{R_1}+\frac{2}{R_2}\hfill & \hfill (\mathrm{for} \mathrm{particle} - \mathrm{particle} \mathrm{collision})\\ \frac{2}{R}\hfill & \hfill (\mathrm{for} \mathrm{particle} - \mathrm{boundary} \mathrm{collision})\end{array}\right.$$

(8)

where R₁ and R₂ represent the dimensions of the particles involved in a particle–particle collision, while R denotes the dimension of the particle in a particle–boundary collision.

Text Correction 3

There was an error in the original publication. There is an error in the subscript of a variable within Formula (16).

A correction has been made to Section 2.6. Modeling in Rocky DEM Software, 2.6.1. Simulation Software and Contact Model, Paragraph 4:

$$s_{\tau , \mathit{max}}=\mu {\left(\frac{1-{\nu }_1}{2-{\nu }_1}+\frac{1-{\nu }_2}{2-{\nu }_2}\right)}^{-1}{s}_n$$

(16)

Text Correction 4

There was an error in the original publication. “In accordance with the methodology initially proposed by Tsuji et al. [36]”.

A correction has been changed to “In accordance with the methodology initially proposed by Tsuji et al. [39]”.

Text Correction 5

There was an error in the original publication: “Antypov and Elliott [37] demonstrated that, through the application of appropriate variable transformations, the solution to a motion equation based on the Hertzian model can be mapped onto the solution of an equivalent equation derived from the linear spring–dashpot model”.

A correction has been made to “Antypov and Elliott [40] demonstrated that, through the application of appropriate variable transformations, the solution to a motion equation based on the Hertzian model can be mapped onto the solution of an equivalent equation derived from the linear spring–dashpot model”.

References

36. Ren, D.-Z.; Zhang, L.-J.; Gong, Y.-J.; Meng, J.; He, T.-Y. Calibration and Testing of Discrete Element Model Parameters for Biochar-based Fertilizer. J. Shenyang Agric. Univ. 2023, 54, 447–455.

37. Malone, K.F.; Xu, B.H. Determination of contact parameters for discrete element method simulations of granular systems. Particuology 2008, 6, 521–528. https://doi.org/10.1016/j.partic.2008.07.012.

38. Chen, J.; Tian, T.; Li, J.; You, Z. Effects of operating parameters and particle friction on water usage of deep-sea manganese nodules hydraulic conveying equipment. Powder Technol. 2024, 442, 119850. https://doi.org/10.1016/j.powtec.2024.119850.

41. Zhang, C.; Guo, S.; Shang, F.; Ge, Z.; Guo, L. Numerical simulation of particle jet in supercritical water environment based on an improved coarse-grained CFD-DEM method. Powder Technol. 2025, 456, 120833. https://doi.org/10.1016/j.powtec.2025.120833.

42. Petit, H.A.; Potapov, A.V.; Tavares, L.M. Simulating breakage by compression of iron ore pellets using the discrete breakage model. Powder Technol. 2025, 449, 120433. https://doi.org/10.1016/j.powtec.2024.120433.

43. Ansys^® Rocky. Release 2024 R1, Help System, Rocky Technical Manual; Ansys, Inc.: Canonsburg, PA, USA, 2024.

With this correction, the order of some references has been adjusted accordingly. The authors state that the scientific conclusions are unaffected. This correction was approved by the Academic Editor. The original publication has also been updated.